Answer
$$\lim_{x\to 0}f(x)=1.$$
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,
$$\lim_{x\to 0}f(x)=1.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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