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: 48


$ \frac{2}{\pi}$

Work Step by Step

\begin{align*} \lim _{h \rightarrow \frac{\pi}{2}} \frac{1-\cos 3 h}{h}&= \frac{1-\cos \frac{3\pi}{2}}{\pi/2}\\ &= \frac{1 }{\pi/2}\\ &= \frac{2}{\pi}.\\ \end{align*}
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