Answer
$\frac{2}{\pi}$
Work Step by Step
\begin{align*}
\lim _{t\rightarrow \frac{\pi}{2}} \frac{ 1-\cos t }{t }&= \frac{ 1-\cos \frac{\pi}{2} }{\frac{\pi}{2} }\\
&=\frac{ 1-0 }{\frac{\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: 22
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