Answer
$$\lim_{x\to2}\sin\Big(\frac{1}{x}-\frac{1}{2}\Big)=0$$
Work Step by Step
$$A=\lim_{x\to2}\sin\Big(\frac{1}{x}-\frac{1}{2}\Big)$$
$$A=\sin\Big(\frac{1}{2}-\frac{1}{2}\Big)$$
$$A=\sin0=0$$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 3 - Section 3.5 - Derivatives of Trigonometric Functions - Exercises - Page 152: 47
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