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Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 2.6 - Problem 55
Get Full Access to Calculus: Early Transcendentals - 2 Edition - Chapter 2.6 - Problem 55

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# 5156. Continuity and limits with transcendental | Ch 2.6 - 55

ISBN: 9780321947345 167

## Solution for problem 55 Chapter 2.6

Calculus: Early Transcendentals | 2nd Edition

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Problem 55

5156. Continuity and limits with transcendental functions Determine the interval(s) on which the following functions are continuous; then analyze the given limits. f 1x2 = ex 1 - ex; lim xS0- f 1x2; lim xS0+ f 1x2

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1.2 Finding limits Graphically To find the limit graphically of a function you have to follow the function from both the positive side and from the negative side of the coordinate system towards the number x approaches. For example, For this function as x approaches -2, if you follow the function from both sides the limit equals 4. 1.3 Finding limits Numerically To find the limit of a function numerically there are different step you have to take: 1. To start finding the limit of a function you have to substitute the number that approaches x in the limit. For example, lim (3 + 2) = 3(-3) + 2 = -7 ▯→▯▯ 2. In the case that the limit is unsolvable by substitution you have to simplify the function by

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5156. Continuity and limits with transcendental | Ch 2.6 - 55