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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4 - Problem 32re
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4 - Problem 32re

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# e21+2x Limits Evaluate the following limits. Use

ISBN: 9780321570567 2

## Solution for problem 32RE Chapter 4

Calculus: Early Transcendentals | 1st Edition

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Problem 32RE

Evaluate the following limits. Use l’ Hospital’s Rule when needed.

$$\lim _{x \rightarrow 0} \frac{e^{-2 x}-1+2 x}{x^{2}}$$

Step-by-Step Solution:

Solution Step 1 In this problem we have to evaluate the limit lim e2x1+2x by using l'Hôpital's Rule when x0 x2 needed. l'Hôpital's Rule: f(x) f(x) Suppose that we have one of the following cases, lim = or lim = ± xa g(x) 0 xa g(x) ± Where a can be any real number, infinity or negative infinity. In these cases we have lim f(x)= lim f(x) xa g(x) xa gx)

Step 2 of 2

##### ISBN: 9780321570567

The full step-by-step solution to problem: 32RE from chapter: 4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: Limits, needed, evaluate, lim, pital. This expansive textbook survival guide covers 112 chapters, and 7700 solutions. Since the solution to 32RE from 4 chapter was answered, more than 469 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “?Evaluate the following limits. Use l’ Hospital’s Rule when needed.$$\lim _{x \rightarrow 0} \frac{e^{-2 x}-1+2 x}{x^{2}}$$” is broken down into a number of easy to follow steps, and 16 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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