Chapter 2 Section 2

Chapter 2 Section 2 - Chapter 2 Section 2 Finding limits...

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1 Chapter 2 Section 2 Finding limits using tables and graphs Page 69
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2 Objectives: 1. Know and use limit terminology. 2. Find limits using tables and graphs 3. Find vertical asymptotes 4. Use a graphing calculator to find a limit
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3 Consider the following statements: 1. f(a) = L and 2. lim x a f(x) = L
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4 1. f(a) = L is a statement about the value of f(x) when x = a. and 2. lim x a f(x) = L is a statement about the value of f at points where x is near but not equal to a. That is, the limit describes the behavior of the function when x is in the vicinity of “a”. Note: The limit may exist at “a” even if the function does not exist at “a”. If the function does exist at “a” and equals the limit, we say the function is continuous.
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5 “Definition of limit” lim x a f(x) = L means we can make f(x) as close to L as we like by making x close to but not equal to “a” Since the distance between a and b is |a – b| we can say close means |f(x) – L| becomes arbitrarily
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Chapter 2 Section 2 - Chapter 2 Section 2 Finding limits...

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