Calculus (3rd Edition)

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



Work Step by Step

Since the function $ \tan x \cos y $ is continuous at $(\frac{\pi}{4},0)$, then we have $$ \lim\limits_{(x,y) \to (\frac{\pi}{4},0)}\tan x \cos y=\tan \frac{\pi}{4} \cos 0=1 .$$
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