Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.8 Indeterminate Forms and I'Hospital's Rule - 6.8 Exercises - Page 499: 2


a) Cannot be determined or, $\text{Indeterminate}$ b) $\infty$ c) $\infty$

Work Step by Step

a)$\lim\limits_{x \to a} [f(x)p(x)] = 0(\infty)=$ $\text{Indeterminate}$ b) $\lim\limits_{x \to a} [h(x)p(x)] =$ $\lim\limits_{x \to a} h(x) \times \lim\limits_{x \to a} p(x) = 1 ( \infty) = \infty$ c) $\lim\limits_{x \to a} [p(x)q(x)] =(\lim\limits_{x \to a} p(x))( \lim\limits_{x \to a} q(x)) = (\infty )(\infty) = \infty$
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