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 - 6.2 Derivatives And Integrals Involving Logarithmic Functions - Exercises Set 6.2: 31

Answer

True.

Work Step by Step

The slope of the tangent line is the derivative. The derivative of $ln(x)$ is $\frac{1}{x}$. As $x$ approaches zero from the right side, $\frac{1}{x}$ approaches infinity. Therefore, the slope as $a$ approaches zero is infinity.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.