0058 einseitige Grenzwerte von Funktionen

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=0Qc42YohWYs

Mathe Schulwissen: linksseitiger und rechtsseitiger Grenzwert einer Funktion • Alle Angaben ohne Gewähr. Leider kann nicht ausgeschlossen werden, dass dieses Video Fehler enthält. Außerdem werden Ungenauigkeiten aufgrund von didaktischer Reduktion bewusst in Kauf genommen. Bitte geben Sie mir bei Fehlern unter [email protected] Bescheid. Vielen Dank.","styleRuns":[{"startIndex":0,"length":366,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":366,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"messageRenderer":{"text":{"runs":[{"text":"Comments are turned off. "},{"text":"Learn more","navigationEndpoint":{"clickTrackingParams":"CMQBEJY7GAAiEwitmueAlMuLAxWYxEIFHTcHCv8=","commandMetadata":{"webCommandMetadata":{"url":"https://support.google.com/youtube/answer/9706180?hl=en","webPageType":"WEB_PAGE_TYPE_UNKNOWN","rootVe":83769}},"urlEndpoint":{"url":"https://support.google.com/youtube/answer/9706180?hl=en"}}}]},"trackingParams":"CMQBEJY7GAAiEwitmueAlMuLAxWYxEIFHTcHCv8="}}],"trackingParams":"CMMBELsvGAIiEwitmueAlMuLAxWYxEIFHTcHCv8=","sectionIdentifier":"comment-item-section"}}],"trackingParams":"CMIBELovIhMIrZrngJTLiwMVmMRCBR03Bwr_"}},"secondaryResults":{"secondaryResults":{"results":[{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/A-39_aG6v9A/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLBjv8ypm7ITv3UkwQSEVsRU1bFvDA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/A-39_aG6v9A/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLCZ0FujZTqWGykOMBHcivCAePw_Aw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"3:45","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"A-39_aG6v9A","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":"3 minutes, 45 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CMEBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"A-39_aG6v9A","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMEBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","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":"CMABEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"A-39_aG6v9A"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMABEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLoBENTEDBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CL8BEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL8BEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"A-39_aG6v9A","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL8BEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["A-39_aG6v9A"],"params":"CAQ%3D"}},"videoIds":["A-39_aG6v9A"],"videoCommand":{"clickTrackingParams":"CL8BEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=A-39_aG6v9A","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"A-39_aG6v9A","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nv47znel.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 id=03edfdfda1babfd0 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=615000 mt=1739810216 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CL8BEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","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":"CL4BEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLoBENTEDBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"0059 Grenzwerte von Funktionen Rechenregeln"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mBFjg2xxC_O2wDYb0UjO39eBgcAeyrq2sdy4LZkfFAWg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLoBENTEDBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"url":"/@MathematischeMethoden","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCercgwZg9vUMzKM7iiccnog","canonicalBaseUrl":"/@MathematischeMethoden"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Mathematische Methoden"}}]},{"metadataParts":[{"text":{"content":"1.5K views"}},{"text":{"content":"5 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CLsBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","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":"CL0BEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CL0BEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL0BEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"A-39_aG6v9A","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL0BEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["A-39_aG6v9A"],"params":"CAQ%3D"}},"videoIds":["A-39_aG6v9A"],"videoCommand":{"clickTrackingParams":"CL0BEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=A-39_aG6v9A","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"A-39_aG6v9A","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nv47znel.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 id=03edfdfda1babfd0 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=615000 mt=1739810216 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLsBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtBLTM5X2FHNnY5QQ%3D%3D","commands":[{"clickTrackingParams":"CLsBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLwBEI5iIhMIrZrngJTLiwMVmMRCBR03Bwr_","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CLsBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"A-39_aG6v9A","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CLoBENTEDBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","clientVeSpec":{"uiType":205396,"veCounter":56874681}}},"accessibilityContext":{"label":"0059 Grenzwerte von Funktionen Rechenregeln by Mathematische Methoden 1,553 views 5 years ago 3 minutes, 45 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLoBENTEDBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_MgdyZWxhdGVkSIuzhdGYm86D0QGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=A-39_aG6v9A","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"A-39_aG6v9A","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nv47znel.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 id=03edfdfda1babfd0 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=615000 mt=1739810216 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/ZesBkRCLLPY/hqdefault.jpg?sqp=-oaymwEiCKgBEF5IWvKriqkDFQgBFQAAAAAYASUAAMhCPQCAokN4AQ== rs=AOn4CLBv3UPKl9d7VAqqUdoFugEDxAakWw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ZesBkRCLLPY/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE= rs=AOn4CLCGR4vmq-cgt5LPEIsRtwPlT4WkxQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"7:22","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"ZesBkRCLLPY","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, 22 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CLkBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ZesBkRCLLPY","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLkBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","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":"CLgBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ZesBkRCLLPY"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLgBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLIBENTEDBgBIhMIrZrngJTLiwMVmMRCBR03Bwr_"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CLcBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ZesBkRCLLPY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZesBkRCLLPY"],"params":"CAQ%3D"}},"videoIds":["ZesBkRCLLPY"],"videoCommand":{"clickTrackingParams":"CLcBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ZesBkRCLLPY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ZesBkRCLLPY","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nv47zn7y.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 id=65eb0191108b2cf6 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=615000 mt=1739810216 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CLcBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","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":"CLYBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CLIBENTEDBgBIhMIrZrngJTLiwMVmMRCBR03Bwr_"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"0292 Doppelintegral: Integrationsbereich kein Rechteck"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mBFjg2xxC_O2wDYb0UjO39eBgcAeyrq2sdy4LZkfFAWg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLIBENTEDBgBIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"url":"/@MathematischeMethoden","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCercgwZg9vUMzKM7iiccnog","canonicalBaseUrl":"/@MathematischeMethoden"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Mathematische Methoden"}}]},{"metadataParts":[{"text":{"content":"3.8K views"}},{"text":{"content":"5 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CLMBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","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":"CLUBEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLUBEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLUBEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"ZesBkRCLLPY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLUBEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZesBkRCLLPY"],"params":"CAQ%3D"}},"videoIds":["ZesBkRCLLPY"],"videoCommand":{"clickTrackingParams":"CLUBEP6YBBgAIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ZesBkRCLLPY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ZesBkRCLLPY","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nv47zn7y.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 id=65eb0191108b2cf6 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=615000 mt=1739810216 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLMBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtaZXNCa1JDTExQWQ%3D%3D","commands":[{"clickTrackingParams":"CLMBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLQBEI5iIhMIrZrngJTLiwMVmMRCBR03Bwr_","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CLMBEPBbIhMIrZrngJTLiwMVmMRCBR03Bwr_","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"ZesBkRCLLPY","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CLIBENTEDBgBIhMIrZrngJTLiwMVmMRCBR03Bwr_","clientVeSpec":{"uiType":205396,"veCounter":56874680}}},"accessibilityContext":{"label":"0292 Doppelintegral: Integrationsbereich kein Rechteck by Mathematische Methoden 3,860 views 5 years ago 7 minutes, 22 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CLIBENTEDBgBIhMIrZrngJTLiwMVmMRCBR03Bwr_MgdyZWxhdGVkSIuzhdGYm86D0QGaAQUIARD4HQ==","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ZesBkRCLLPY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ZesBkRCLLPY","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nv47zn7y.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 id=65eb0191108b2cf6 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=615000 mt=1739810216 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/Zsv0ylSHXYQ/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCqhF3AQerD9tmEV1kTurRkQ0mdJA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Zsv0ylSHXYQ/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLCoK2njj0o9Kd2yBlB2KqZP2N7uWQ","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"305 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":2304307,"darkTheme":2304307}}}],"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":2896959,"darkTheme":2896959}}},"stackColor":{"lightTheme":7044761,"darkTheme":7766675}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Vorkurs und E-Vorlesung Mathematische Methoden komplett (Video 0000 bis 0304)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Mathematische Methoden

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

New on site