M207-chapt2

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Limits Chapt. 2

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2.1 The Idea of Limits
Slide 2 - 3 Object motion in gravity field: Average velocities over time

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Slide 2 - 5 Object motion in gravity field: “Instantaneous” velocity at a given time

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Slide 2 - 6 Limit of Average velocity Instantaneous velocity:
2.2 Definitions of Limits

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Slide 2 - 9 Finding Limits using Graphs:

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Slide 2 - 13 Finding Limits using Tables:

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Slide 2 - 14 One-Sided Limits:
Slide 2 - 15 Example

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Slide 2 - 19 As x → 2: Left limit? Right limit? Example: “Jump” behavior

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Slide 2 - 20 Example: strange behavior near 0
2.3 Techniques for Computing Limits

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Unformatted text preview: 24 Slide 2 - 25 Slide 2 - 26 Slide 2 - 27 Slide 2 - 28 Slide 2 - 29 Slide 2 - 30 Slide 2 - 31 Prove: → x 1 sin lim = x x Slide 2 - 32 Find: x x 1 sin lim 2 x 1 sin → x 2.4 Infinite Limits Slide 2 - 34 Slide 2 - 35 Slide 2 - 36 Slide 2 - 37 Slide 2 - 38 Slide 2 - 39 Slide 2 - 40 Slide 2 - 41 Slide 2 - 42 2.5 Limits at Infinity Slide 2 - 44 Slide 2 - 45 Slide 2 - 46 Slide 2 - 47 Slide 2 - 48 Slide 2 - 49 Slide 2 - 50 Slide 2 - 51 Slide 2 - 52 Slide 2 - 53 Slide 2 - 54 Slide 2 - 55 Slide 2 - 56 Slide 2 - 57 2.6 Continuity Slide 2 - 59 Slide 2 - 60 Slide 2 - 61 Slide 2 - 62 Slide 2 - 63 Slide 2 - 64 Slide 2 - 65 Slide 2 - 66 Slide 2 - 67...
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M207-chapt2 - 24 Slide 2 25 Slide 2 26 Slide 2 27 Slide 2...

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