Answer
$1$
Work Step by Step
Since the function $ \tan x \cos y $ is continuous at $(\frac{\pi}{4},0)$, then we have
$$ \lim\limits_{(x,y) \to (\frac{\pi}{4},0)}\tan x \cos y=\tan \frac{\pi}{4} \cos 0=1 .$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 15 - Differentiation in Several Variables - 15.2 Limits and Continuity in Several Variables - Exercises - Page 771: 5
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