Calculus (3rd Edition)

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

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*}
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