Answer
$1$
Work Step by Step
Solve the limit $\lim\limits_{(x,y) \to (0,0)} e^y(\dfrac{\sin x}{x})$
$\lim\limits_{(x,y) \to (0,0)} e^y(\dfrac{\sin x}{x})=e^{0} \lim\limits_{(x \to0)} (\dfrac{\sin x}{x})$
Thus, $(1)(1)=1$
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: 9
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