Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.5 L'Hopital's Rule; Indeterminate Forms - Exercises Set 6.5: 3

Answer

True.

Work Step by Step

In order to use L'Hôpital's rule, the limit must fit the form $\frac{0}{0}$ or $\frac{\infty}{\infty}$. $ln(x)$ is not defined when $x$ approaches infinity. Therefore, the limit doesn't exist and L'Hôpital's rule cannot be used.
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