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 - Page 425: 31



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.
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