Calculus 8th Edition

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

Chapter 1 - Functions and Limits - Review - Concept Check - Page 95: 16


See the definition below:

Work Step by Step

If $f(x) \le g(x) \le h(x)$ when x is close to a (except possibly at a) and the limit of the outside functions, $f(x)$ and $h(x)$ at a tend to $C$, then $\lim\limits_{x \to a} g(x) =C$ In English, if the function g is squeezed between $f(x)$ and $h(x)$ near a, and the limits are equal, then g must have the same limit.
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