Calculus 8th Edition

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

Chapter 1 - Functions and Limits - Review - True-False Quiz: 13

Answer

FALSE

Work Step by Step

If the following is true: $\lim\limits_{x \to 5}f(x)=0$ $\lim\limits_{x \to 5}g(x)=0$ Then it is not true that $\lim\limits_{x \to 5}[\frac{f(x)}{g(x)}]$ doesn't exist. For instance: $\lim\limits_{x \to 5}\frac{x-5}{x-5} = \frac{0}{0}$ However, you can simplify the expression: $\lim\limits_{x \to 5}1$ the limit of the expression is 1 Thus, it is FALSE that the limit does not exist.
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