Answer
See the theorem below.
Work Step by Step
If we have the inequality $g(x)\leq f(x)\leq h(x)$ for all $x\neq c$ in the interval $I$ that contains $c$ and $\lim_{x\to c}g(x)=\lim_{x\to c}h(x)=L$
Then $\lim_{x\to c}f(x)=L$.
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 - Preliminary Questions - Page 76: 2
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