University Calculus: Early Transcendentals (3rd Edition)

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



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 $(3) (1)(1)=3$
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