Answer
$\left( \frac{\sqrt{3}}{2}\right)^{-1/2}$
Work Step by Step
We have
$$
\lim _{y \rightarrow 3} \left(\sin\frac{\pi}{y}\right)^{-1/2}= \left(\sin\frac{\pi}{3}\right)^{-1/2}=\left( \frac{\sqrt{3}}{2}\right)^{-1/2}.
$$
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: 38
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