Answer
$$-\sqrt{\pi}$$
Work Step by Step
We have
$$
\lim _{t \rightarrow \frac{\pi}{2}} \sqrt{2t}(\cos t-1)= \sqrt{\pi}(\cos \frac{\pi}{2}-1)=\sqrt{\pi}(0-1)=-\sqrt{\pi}.
$$
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 - Chapter Review Exercises - Page 94: 44
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