Answer
$-2$
Work Step by Step
We need to find the limit for $\lim\limits_{(x,y) \to (\pi,\ln 2)} e^y \cos x$
or, $=e^{\ln 2} (\cos \pi)$
Thus, $\lim\limits_{(x,y) \to (\pi,\ln 2)} e^y \cos x=(2) (-1)=-2$
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 - Practice Exercises - Page 749: 9
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