Answer
$$\sqrt{2}.$$
Work Step by Step
We have
\begin{align*}
\lim _{\theta \rightarrow \frac{\pi}{4}} \sec \theta&=\sec \frac{\pi}{4}=\sqrt{2}.
\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 - Chapter Review Exercises - Page 94: 28
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