Answer
$ \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*}
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: 48
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