Answer
$$-1$$
Work Step by Step
\begin{align*}
\lim _{x \rightarrow \pi}\sin \left(\frac{x}{2}-\pi\right)&=\sin \left(\frac{\pi}{2}-\pi\right)\\
&=\sin \left(-\frac{\pi}{2}\right)\\
&=-1.
\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 - 2.4 Limits and Continuity - Exercises - Page 68: 70
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