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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4 - Problem 28re
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4 - Problem 28re

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5x +2x5 Limits Evaluate the following limits. Use

ISBN: 9780321570567 2

Solution for problem 28RE Chapter 4

Calculus: Early Transcendentals | 1st Edition

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Problem 28RE

Limits Evaluate the following limits. Use l'Hôpital's Rule when needed.

$$\lim \limits_{x \rightarrow \infty} \frac{5 x^{2}+2 x-5}{\sqrt{x^{4}-1}}$$

Step-by-Step Solution:

Solution Step 1 5x +2x5 In this problem we have to evaluate the limit lim 4 by using l'Hôpital's Rule when x x 1 needed. l'Hôpital's Rule: Suppose that we have one of the following cases, lim f(x)= or lim f(x)= ± xa g(x) 0 xa g(x) ± Where a can be any real number, infinity or negative infinity. f(x) f(x) In these cases we have lim = lim xa g(x) xa gx)

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