Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 3 - The Derivative - 3.1 Limits - 3.1 Exercises - Page 137: 24

Answer

$\lim\limits_{x \to 4} \log_3 f(x)=2$

Work Step by Step

We are given $\lim\limits_{x \to 4}f(x)=9$ so $\lim\limits_{x \to 4} \log_3 f(x)$ $= \log_3 \lim\limits_{x \to 4}f(x)$ $= \log_39$ $=\log_3 3^2$ $=2\log_33$ $=2$
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