Answer
$1$
Work Step by Step
Here, $\lim\limits_{(x,y) \to (0,\dfrac{\pi}{4})} \sec x \tan y=\sec(0) \tan (\dfrac{\pi}{4})$
Thus, $\lim\limits_{(x,y) \to (0,\dfrac{\pi}{4})} \sec x \tan y=(1)(1)=1$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 14: Partial Derivatives - Section 14.2 - Limits and Continuity in Higher Dimensions - Exercises 14.2 - Page 795: 5
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