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25 The formal definition of limit
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Full playlist on Limits and Continuity: • 2. Limits and Continuity • I explain the formal definition of limit (the so-called epsilon-delta definition ). This video will make more sense if you have watched first the videos on: • The idea of limit, geometrically: • Limits geometrically • Absolute values and distance: • 2.4 Distance and absolute values • Quantifiers: • Quantifiers • Related videos: • Definition of limit at infinity: • 2.6 Limits at infinity • How to prove a function has a limit from the definition (easy example): • 2.7 Prove a function has a limit from... • How to prove a function has a limit from the definition (hard example): • 2.8 Prove a function has a limit from... • How to prove a limit does not exist from the definition: • 2.9 How to prove a limit DNE from the... • Other epsilon-delta proofs : • Epsilon-delta proofs • 0:00 Introduction • 0:15 Informal idea • 0:59 Formalizing components • 2:36 Building definition • 3:21 Rough work • 5:43 Delta, Epsilon Conditions • 7:21 Complete definition • 7:48 What about x? • 8:33 Exercise
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