Answer
$3$
Work Step by Step
Solve $\lim\limits_{(x,y,z) \to (\pi,0,3)} (z e^{-2y}\cos^2 x)$
Now, $\lim\limits_{(x,y,z) \to (\pi,0,3)} (z e^{-2y}\cos^2 x)= [(3)e^{-2(0)}\cos^2 (\pi)])$
Thus, we get $(3) (1)(1)=3$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 13 - Section 13.2 - Limits and Continuity in Higher Dimensions - Exercises - Page 691: 29
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