EpsilonDelta Proof Quadratic

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=4hG3yQBVFwg

In this video, I explained the steps in proving the limit of a quadratic using delta-epsilon proof.","styleRuns":[{"startIndex":0,"length":99,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":99,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CNwBELsvGAIiEwjs1fmf-9KLAxWvdnoFHcg-KjI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzRoRzN5UUJWRndnGAYyJSIRIgs0aEczeVFCVkZ3ZzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CNwBELsvGAIiEwjs1fmf-9KLAxWvdnoFHcg-KjI=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CNsBELovIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"secondaryResults":{"secondaryResults":{"results":[{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/NECeIIbnehI/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLCYr87rAIbqDIHqfvIMgik7AcMsGg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/NECeIIbnehI/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLBeeVtXJg5HqLgti1YIELEAUn8Urg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"9:26","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"NECeIIbnehI","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"9 minutes, 26 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CNoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"NECeIIbnehI","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CNkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"NECeIIbnehI"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CNMBENTEDBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CNgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"NECeIIbnehI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["NECeIIbnehI"],"params":"CAQ%3D"}},"videoIds":["NECeIIbnehI"],"videoCommand":{"clickTrackingParams":"CNgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=NECeIIbnehI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"NECeIIbnehI","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=34409e2086e77a12 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNcBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CNMBENTEDBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Delta-Epsilon proof of Infinite limit"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/wxfmE3GxAAG8F4wC1QF7V5Ob9xo4MXGGnn0V-c5WeVtVFe7RrCf68SCsQT8cMPhw6sgPYbmDiqs=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNMBENTEDBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@PrimeNewtons","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCQ3jbVA0UCuBJfqTWxOb1aQ","canonicalBaseUrl":"/@PrimeNewtons"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Prime Newtons","styleRuns":[{"startIndex":13,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":13,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"38K views"}},{"text":{"content":"1 year ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CNQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CNYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"NECeIIbnehI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["NECeIIbnehI"],"params":"CAQ%3D"}},"videoIds":["NECeIIbnehI"],"videoCommand":{"clickTrackingParams":"CNYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=NECeIIbnehI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"NECeIIbnehI","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=34409e2086e77a12 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtORUNlSUlibmVoSQ%3D%3D","commands":[{"clickTrackingParams":"CNQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNUBEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CNQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"NECeIIbnehI","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CNMBENTEDBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765978}}},"accessibilityContext":{"label":"Delta-Epsilon proof of Infinite limit by Prime Newtons 38,543 views 1 year ago 9 minutes, 26 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNMBENTEDBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=NECeIIbnehI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"NECeIIbnehI","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=34409e2086e77a12 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/HaDHucc13oY/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLCsne-PkqEpU7HCVz1UilMFHIpgKw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/HaDHucc13oY/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLCPNL3yiuaRwANF47YDC5AHARGTIg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"20:11","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"HaDHucc13oY","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"20 minutes, 11 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CNIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"HaDHucc13oY","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CNEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"HaDHucc13oY"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMsBENTEDBgBIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CNABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"HaDHucc13oY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["HaDHucc13oY"],"params":"CAQ%3D"}},"videoIds":["HaDHucc13oY"],"videoCommand":{"clickTrackingParams":"CNABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=HaDHucc13oY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"HaDHucc13oY","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=1da0c7b9c735de86 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CM8BEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMsBENTEDBgBIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Epsilon - Delta Proof (precise definition of the limit)"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/wxfmE3GxAAG8F4wC1QF7V5Ob9xo4MXGGnn0V-c5WeVtVFe7RrCf68SCsQT8cMPhw6sgPYbmDiqs=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMsBENTEDBgBIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@PrimeNewtons","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCQ3jbVA0UCuBJfqTWxOb1aQ","canonicalBaseUrl":"/@PrimeNewtons"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Prime Newtons","styleRuns":[{"startIndex":13,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":13,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"87K views"}},{"text":{"content":"1 year ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CMwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CM4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CM4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"HaDHucc13oY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["HaDHucc13oY"],"params":"CAQ%3D"}},"videoIds":["HaDHucc13oY"],"videoCommand":{"clickTrackingParams":"CM4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=HaDHucc13oY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"HaDHucc13oY","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=1da0c7b9c735de86 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtIYURIdWNjMTNvWQ%3D%3D","commands":[{"clickTrackingParams":"CMwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CM0BEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CMwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"HaDHucc13oY","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CMsBENTEDBgBIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765977}}},"accessibilityContext":{"label":"Epsilon - Delta Proof (precise definition of the limit) by Prime Newtons 87,219 views 1 year ago 20 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMsBENTEDBgBIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=HaDHucc13oY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"HaDHucc13oY","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=1da0c7b9c735de86 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/s4YHRtvOVB4/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLBTJPY8gbS4dEY309cn02xDN0BT4w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/s4YHRtvOVB4/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLBu9M_YzRN8ep1heJdxjZRsR41DBQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"9:55","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"s4YHRtvOVB4","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"9 minutes, 55 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CMoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"s4YHRtvOVB4","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CMkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"s4YHRtvOVB4"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMMBENTEDBgCIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CMgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"s4YHRtvOVB4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["s4YHRtvOVB4"],"params":"CAQ%3D"}},"videoIds":["s4YHRtvOVB4"],"videoCommand":{"clickTrackingParams":"CMgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=s4YHRtvOVB4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"s4YHRtvOVB4","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=b3860746dbce541e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMcBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMMBENTEDBgCIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Is x^x=0 solvable?"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/kGQxp49X4lQvODyAXMfFsvXDG9bRpI-iKd97ibQPn2Z2xlMASmKof_8M10peqPESU4MhcozK6Dc=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMMBENTEDBgCIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@blackpenredpen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC_SvYP0k05UKiJ_2ndB02IA","canonicalBaseUrl":"/@blackpenredpen"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"blackpenredpen","styleRuns":[{"startIndex":14,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":14,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"376K views"}},{"text":{"content":"5 months ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CMQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CMYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"s4YHRtvOVB4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["s4YHRtvOVB4"],"params":"CAQ%3D"}},"videoIds":["s4YHRtvOVB4"],"videoCommand":{"clickTrackingParams":"CMYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=s4YHRtvOVB4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"s4YHRtvOVB4","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=b3860746dbce541e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtzNFlIUnR2T1ZCNA%3D%3D","commands":[{"clickTrackingParams":"CMQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMUBEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CMQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"s4YHRtvOVB4","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CMMBENTEDBgCIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765976}}},"accessibilityContext":{"label":"Is x^x=0 solvable? by blackpenredpen 376,935 views 5 months ago 9 minutes, 55 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMMBENTEDBgCIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=s4YHRtvOVB4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"s4YHRtvOVB4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=b3860746dbce541e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/rQBhCuW7Ylg/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLDZ7op5cagPquPCuV0XWEHy51MiZA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/rQBhCuW7Ylg/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLCY6rma2hx3BoDzvv9RK0vOYj2VJg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"9:22","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"rQBhCuW7Ylg","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"9 minutes, 22 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CMIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"rQBhCuW7Ylg","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CMEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"rQBhCuW7Ylg"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLsBENTEDBgDIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CMABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"rQBhCuW7Ylg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["rQBhCuW7Ylg"],"params":"CAQ%3D"}},"videoIds":["rQBhCuW7Ylg"],"videoCommand":{"clickTrackingParams":"CMABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=rQBhCuW7Ylg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"rQBhCuW7Ylg","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=ad00610ae5bb6258 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CL8BEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLsBENTEDBgDIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Epsilon-Delta Proof of Limit (Quadratic Example)"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/RWlOyGWw9sNuhw6nvKUXFzJkc89pcVP5AHfuQSZuXhudkjSJzR24Klxlr5hUI7V0hu5gcckA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLsBENTEDBgDIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@turksvids","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCtspR6cT4WslRbP2qp0felw","canonicalBaseUrl":"/@turksvids"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"turksvids"}}]},{"metadataParts":[{"text":{"content":"72K views"}},{"text":{"content":"5 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CLwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CL4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CL4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"rQBhCuW7Ylg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["rQBhCuW7Ylg"],"params":"CAQ%3D"}},"videoIds":["rQBhCuW7Ylg"],"videoCommand":{"clickTrackingParams":"CL4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=rQBhCuW7Ylg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"rQBhCuW7Ylg","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=ad00610ae5bb6258 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtyUUJoQ3VXN1lsZw%3D%3D","commands":[{"clickTrackingParams":"CLwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL0BEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CLwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"rQBhCuW7Ylg","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CLsBENTEDBgDIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765975}}},"accessibilityContext":{"label":"Epsilon-Delta Proof of Limit (Quadratic Example) by turksvids 72,234 views 5 years ago 9 minutes, 22 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLsBENTEDBgDIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=rQBhCuW7Ylg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"rQBhCuW7Ylg","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=ad00610ae5bb6258 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/JWM7_SjqDyo/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLAH18aLFm8dTfcOhr-Hzyr3XASWow","width":168,"height":94},{"url":"https://i.ytimg.com/vi/JWM7_SjqDyo/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLAXyUjA0rYnF5Kp-M6vlHKlktuK5A","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"12:34","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"JWM7_SjqDyo","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"12 minutes, 34 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CLoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"JWM7_SjqDyo","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CLkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"JWM7_SjqDyo"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLMBENTEDBgEIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CLgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"JWM7_SjqDyo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JWM7_SjqDyo"],"params":"CAQ%3D"}},"videoIds":["JWM7_SjqDyo"],"videoCommand":{"clickTrackingParams":"CLgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=JWM7_SjqDyo","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"JWM7_SjqDyo","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=25633bfd28ea0f2a ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLcBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLMBENTEDBgEIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"an interesting limit"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/4vwYDphWrDGJFM5V5V7tzquG7WwilS-x_HLIDwOaEJUXYhgc-RxLKdx80TpObsgps2lcgmBUBqw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLMBENTEDBgEIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@seegeeaye","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCSoUWj86TJC4r5xhT6re4DQ","canonicalBaseUrl":"/@seegeeaye"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Seegee Aye"}}]},{"metadataParts":[{"text":{"content":"649 views"}},{"text":{"content":"3 weeks ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CLQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CLYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"JWM7_SjqDyo","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["JWM7_SjqDyo"],"params":"CAQ%3D"}},"videoIds":["JWM7_SjqDyo"],"videoCommand":{"clickTrackingParams":"CLYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=JWM7_SjqDyo","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"JWM7_SjqDyo","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=25633bfd28ea0f2a ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtKV003X1NqcUR5bw%3D%3D","commands":[{"clickTrackingParams":"CLQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLUBEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CLQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"JWM7_SjqDyo","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CLMBENTEDBgEIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765974}}},"accessibilityContext":{"label":"an interesting limit by Seegee Aye 649 views 3 weeks ago 12 minutes, 34 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLMBENTEDBgEIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=JWM7_SjqDyo","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"JWM7_SjqDyo","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=25633bfd28ea0f2a ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/1tBaKGtDqh8/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLArbIkuMmK9Ib-7Pur6iQS0OP7sxg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/1tBaKGtDqh8/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLARO-hu-jInhiGnuYFqK4dj3tNvgQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"16:41","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"1tBaKGtDqh8","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"16 minutes, 41 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CLIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"1tBaKGtDqh8","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CLEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"1tBaKGtDqh8"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CKsBENTEDBgFIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CLABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"1tBaKGtDqh8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["1tBaKGtDqh8"],"params":"CAQ%3D"}},"videoIds":["1tBaKGtDqh8"],"videoCommand":{"clickTrackingParams":"CLABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=1tBaKGtDqh8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"1tBaKGtDqh8","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=d6d05a286b43aa1f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1470000 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CK8BEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CKsBENTEDBgFIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Using the epsilon-delta defintion of a limit for a quadratic function"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kuQ3MB6p2K28C5a_5HWPAmwuP_V99fHc8dTrR9m5M=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CKsBENTEDBgFIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@professorkarlawestphal237","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCuYLY-sDyo9uUoJDHobzKog","canonicalBaseUrl":"/@professorkarlawestphal237"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"ProfessorKarlaWestphal"}}]},{"metadataParts":[{"text":{"content":"40K views"}},{"text":{"content":"6 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CKwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CK4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CK4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"1tBaKGtDqh8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["1tBaKGtDqh8"],"params":"CAQ%3D"}},"videoIds":["1tBaKGtDqh8"],"videoCommand":{"clickTrackingParams":"CK4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=1tBaKGtDqh8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"1tBaKGtDqh8","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=d6d05a286b43aa1f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1470000 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CKwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgsxdEJhS0d0RHFoOA%3D%3D","commands":[{"clickTrackingParams":"CKwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CK0BEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CKwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"1tBaKGtDqh8","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CKsBENTEDBgFIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765973}}},"accessibilityContext":{"label":"Using the epsilon-delta defintion of a limit for a quadratic function by ProfessorKarlaWestphal 40,246 views 6 years ago 16 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CKsBENTEDBgFIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=1tBaKGtDqh8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"1tBaKGtDqh8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=d6d05a286b43aa1f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1470000 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/9rIHSOQhhwI/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLApO0c01H2t1pq7rqVM_Ex7lje-9Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/9rIHSOQhhwI/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLAjJCtfORLGQaOkzKnL_ycPY3KFjw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"7:00","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"9rIHSOQhhwI","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"7 minutes"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CKoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"9rIHSOQhhwI","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CKoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CKkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"9rIHSOQhhwI"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CKkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CKMBENTEDBgGIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CKgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"9rIHSOQhhwI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["9rIHSOQhhwI"],"params":"CAQ%3D"}},"videoIds":["9rIHSOQhhwI"],"videoCommand":{"clickTrackingParams":"CKgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=9rIHSOQhhwI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"9rIHSOQhhwI","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=f6b20748e4218702 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CKgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CKcBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CKMBENTEDBgGIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Precise Definition of a Limit and Proving - Linear Function Example"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/ytc/AIdro_m9AWDhcgEqRnaooLjOpSm5WBXScFdlg_g7FeAsKLFWH9o=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CKMBENTEDBgGIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@patrickjmt","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCFe6jenM1Bc54qtBsIJGRZQ","canonicalBaseUrl":"/@patrickjmt"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Patrick J"}}]},{"metadataParts":[{"text":{"content":"320K views"}},{"text":{"content":"9 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CKQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CKYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CKYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"9rIHSOQhhwI","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["9rIHSOQhhwI"],"params":"CAQ%3D"}},"videoIds":["9rIHSOQhhwI"],"videoCommand":{"clickTrackingParams":"CKYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=9rIHSOQhhwI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"9rIHSOQhhwI","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=f6b20748e4218702 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CKQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs5cklIU09RaGh3SQ%3D%3D","commands":[{"clickTrackingParams":"CKQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKUBEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CKQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"9rIHSOQhhwI","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CKMBENTEDBgGIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765972}}},"accessibilityContext":{"label":"Precise Definition of a Limit and Proving - Linear Function Example by Patrick J 320,507 views 9 years ago 7 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CKMBENTEDBgGIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=9rIHSOQhhwI","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"9rIHSOQhhwI","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=f6b20748e4218702 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/R30g657CWT0/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLAcgN5X4eTZZrUqUtCfiVOcRdJgrg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/R30g657CWT0/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLBX5cVVp-ttwdisjV8SVuJ6n56dRQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"20:13","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"R30g657CWT0","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"20 minutes, 13 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CKIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"R30g657CWT0","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CKIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CKEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"R30g657CWT0"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CKEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CJsBENTEDBgHIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CKABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"R30g657CWT0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["R30g657CWT0"],"params":"CAQ%3D"}},"videoIds":["R30g657CWT0"],"videoCommand":{"clickTrackingParams":"CKABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=R30g657CWT0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"R30g657CWT0","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=477d20eb9ec2593d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CKABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJ8BEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CJsBENTEDBgHIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Epsilon-delta proof for rational functions"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/wxfmE3GxAAG8F4wC1QF7V5Ob9xo4MXGGnn0V-c5WeVtVFe7RrCf68SCsQT8cMPhw6sgPYbmDiqs=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJsBENTEDBgHIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@PrimeNewtons","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCQ3jbVA0UCuBJfqTWxOb1aQ","canonicalBaseUrl":"/@PrimeNewtons"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Prime Newtons","styleRuns":[{"startIndex":13,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":13,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"27K views"}},{"text":{"content":"10 months ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CJwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CJ4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJ4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJ4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"R30g657CWT0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJ4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["R30g657CWT0"],"params":"CAQ%3D"}},"videoIds":["R30g657CWT0"],"videoCommand":{"clickTrackingParams":"CJ4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=R30g657CWT0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"R30g657CWT0","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=477d20eb9ec2593d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtSMzBnNjU3Q1dUMA%3D%3D","commands":[{"clickTrackingParams":"CJwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJ0BEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CJwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"R30g657CWT0","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CJsBENTEDBgHIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765971}}},"accessibilityContext":{"label":"Epsilon-delta proof for rational functions by Prime Newtons 27,290 views 10 months ago 20 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJsBENTEDBgHIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=R30g657CWT0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"R30g657CWT0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=477d20eb9ec2593d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/yC8Y50H6kw8/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLBhnfrk59FSxOmINZBPrfPOJrlqLQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/yC8Y50H6kw8/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLBi0M_rBHSAptXi6dfRODEE22HaJg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"15:21","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"yC8Y50H6kw8","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"15 minutes, 21 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CJoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"yC8Y50H6kw8","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CJkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"yC8Y50H6kw8"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CJMBENTEDBgIIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CJgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"yC8Y50H6kw8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["yC8Y50H6kw8"],"params":"CAQ%3D"}},"videoIds":["yC8Y50H6kw8"],"videoCommand":{"clickTrackingParams":"CJgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=yC8Y50H6kw8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"yC8Y50H6kw8","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=c82f18e741fa930f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJcBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CJMBENTEDBgIIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"limits with epsilon-delta definition! (linear, square root, and quadratic examples)"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/QoOIWimgsOo2pAQqphfOpeCfyqnqIDQF0y8yTFyYri23DbcxrKz_xK_EOJxG3HFwOJC8LryH5g=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJMBENTEDBgIIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@bprpcalculusbasics","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCMUu2lQ_ilNsb26oWrc5ENw","canonicalBaseUrl":"/@bprpcalculusbasics"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"bprp calculus basics","styleRuns":[{"startIndex":20,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":20,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"48K views"}},{"text":{"content":"3 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CJQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CJYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"yC8Y50H6kw8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["yC8Y50H6kw8"],"params":"CAQ%3D"}},"videoIds":["yC8Y50H6kw8"],"videoCommand":{"clickTrackingParams":"CJYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=yC8Y50H6kw8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"yC8Y50H6kw8","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=c82f18e741fa930f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt5QzhZNTBINmt3OA%3D%3D","commands":[{"clickTrackingParams":"CJQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CJUBEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CJQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"yC8Y50H6kw8","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CJMBENTEDBgIIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765970}}},"accessibilityContext":{"label":"limits with epsilon-delta definition! (linear, square root, and quadratic examples) by bprp calculus basics 48,318 views 3 years ago 15 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CJMBENTEDBgIIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=yC8Y50H6kw8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"yC8Y50H6kw8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=c82f18e741fa930f ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/DdtEQk_DHQs/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLA81guya1q6C5tJVIgInr4jGM5VnQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/DdtEQk_DHQs/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLDaHDpyfpFC39WXzOD1Bwuc3zVu_g","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"19:28","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"DdtEQk_DHQs","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"19 minutes, 28 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CJIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"DdtEQk_DHQs","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJIBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CJEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"DdtEQk_DHQs"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJEBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CIsBENTEDBgJIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CJABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CJABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"DdtEQk_DHQs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CJABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["DdtEQk_DHQs"],"params":"CAQ%3D"}},"videoIds":["DdtEQk_DHQs"],"videoCommand":{"clickTrackingParams":"CJABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=DdtEQk_DHQs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"DdtEQk_DHQs","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=0ddb44424fc31d0b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CJABEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CI8BEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CIsBENTEDBgJIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"epsilon-delta definition ultimate introduction"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/kGQxp49X4lQvODyAXMfFsvXDG9bRpI-iKd97ibQPn2Z2xlMASmKof_8M10peqPESU4MhcozK6Dc=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CIsBENTEDBgJIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@blackpenredpen","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC_SvYP0k05UKiJ_2ndB02IA","canonicalBaseUrl":"/@blackpenredpen"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"blackpenredpen","styleRuns":[{"startIndex":14,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":14,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"422K views"}},{"text":{"content":"3 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CIwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CI4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CI4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CI4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"DdtEQk_DHQs","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CI4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["DdtEQk_DHQs"],"params":"CAQ%3D"}},"videoIds":["DdtEQk_DHQs"],"videoCommand":{"clickTrackingParams":"CI4BEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=DdtEQk_DHQs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"DdtEQk_DHQs","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=0ddb44424fc31d0b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CIwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtEZHRFUWtfREhRcw%3D%3D","commands":[{"clickTrackingParams":"CIwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CI0BEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CIwBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"DdtEQk_DHQs","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CIsBENTEDBgJIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765969}}},"accessibilityContext":{"label":"epsilon-delta definition ultimate introduction by blackpenredpen 422,499 views 3 years ago 19 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CIsBENTEDBgJIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=DdtEQk_DHQs","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"DdtEQk_DHQs","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=0ddb44424fc31d0b ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/-ejyeII0i5c/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLDgDY9DKfZH8HVERhvw1VPjNcQYzg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/-ejyeII0i5c/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLABiHxSbPNGHgZe8CbKjgh4bCdPJQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"12:48","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"-ejyeII0i5c","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"12 minutes, 48 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CIoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"-ejyeII0i5c","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CIoBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CIkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"-ejyeII0i5c"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CIkBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CIMBENTEDBgKIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CIgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CIgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"-ejyeII0i5c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CIgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-ejyeII0i5c"],"params":"CAQ%3D"}},"videoIds":["-ejyeII0i5c"],"videoCommand":{"clickTrackingParams":"CIgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=-ejyeII0i5c","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"-ejyeII0i5c","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=f9e8f27882348b97 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CIgBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CIcBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CIMBENTEDBgKIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/ytc/AIdro_l3GggKOWViCBpDs9APIsK6MHB2Mu-ECo5dUEU-Vay2gg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CIMBENTEDBgKIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/@khanacademy","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC4a-Gbdw7vOaccHmFo40b9g","canonicalBaseUrl":"/@khanacademy"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Khan Academy","styleRuns":[{"startIndex":12,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":12,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"1.2M views"}},{"text":{"content":"15 years ago"}}]},{"badges":[{"badgeViewModel":{"badgeText":"Fundraiser","badgeStyle":"BADGE_COMMERCE","trackingParams":"CIMBENTEDBgKIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CIQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CIYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CIYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CIYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"-ejyeII0i5c","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CIYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["-ejyeII0i5c"],"params":"CAQ%3D"}},"videoIds":["-ejyeII0i5c"],"videoCommand":{"clickTrackingParams":"CIYBEP6YBBgAIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=-ejyeII0i5c","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"-ejyeII0i5c","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=f9e8f27882348b97 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CIQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgstZWp5ZUlJMGk1Yw%3D%3D","commands":[{"clickTrackingParams":"CIQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CIUBEI5iIhMI7NX5n_vSiwMVr3Z6BR3IPioy","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CIQBEPBbIhMI7NX5n_vSiwMVr3Z6BR3IPioy","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"-ejyeII0i5c","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CIMBENTEDBgKIhMI7NX5n_vSiwMVr3Z6BR3IPioy","clientVeSpec":{"uiType":205396,"veCounter":1026765968}}},"accessibilityContext":{"label":"Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy by Khan Academy 1,247,388 views 15 years ago 12 minutes, 48 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CIMBENTEDBgKIhMI7NX5n_vSiwMVr3Z6BR3IPioyMgdyZWxhdGVkSIiu1IKQ-e2I4gGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=-ejyeII0i5c","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"-ejyeII0i5c","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=f9e8f27882348b97 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=856250 mt=1740078539 oweuc="}}}}}}}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/4hG3yQBVFwg/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCEZ31KH8VunhLkdCbA0GOfM8QKqg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/4hG3yQBVFwg/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLDrZO4aqA1HdtOPYjPtKVBvHVH2vg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"7 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":3552822,"darkTheme":3552822}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Epsilon-Delta Proofs"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Prime Newtons

#############################

New on site