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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 2.7 - Problem 56
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 2.7 - Problem 56

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# 5658. Proving that lim xua f 1x2 3 L Use the following

ISBN: 9780321947345 167

## Solution for problem 56 Chapter 2.7

Calculus: Early Transcendentals | 2nd Edition

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Problem 56

5658. Proving that lim xua f 1x2 3 L Use the following definition for the nonexistence of a limit. Assume f is defined for all values of x near a, except possibly at a. We write lim xSa f 1x2 L if for some e 7 0, there is no value of d 7 0 satisfying the condition f 1x2 - L 6 e whenever 0 6 x - a 6 d. For the following function, note that lim xS2 f 1x2 _ 3. Find all values of e 7 0 for which the preceding condition for nonexistence is satisfied. 1 2 3 4 x 6 1 2 3 4 5 y 0 y _ f (x)

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