Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.6 Trigonometric Limits - Exercises - Page 77: 4


$$\lim_{x\to 0}f(x)=1.$$

Work Step by Step

Since $\lim_{x\to 0}\cos x =\lim_{x\to 0}1=1 $ and $\cos x\leq f(x)\leq 1$, then by the squeeze theorem, we have, $$\lim_{x\to 0}f(x)=1.$$
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