Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.6 Continuity of Trigonometric Functions - Exercises Set 1.6 - Page 105: 14

Answer

$$\frac{1}{2}$$

Work Step by Step

Given $$\lim_{h\to 0}\frac{\sin h}{2h}$$ Then \begin{align*} \lim_{h\to 0}\frac{\sin h}{2h}&=\frac{1}{2}\lim_{h\to 0}\frac{\sin h}{ h}\\ &=\frac{1}{2} \end{align*}
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