Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - 14.2 Limits and Continuity - 14.2 Exercises - Page 950: 7

Answer

$\pi/2$

Work Step by Step

We can directly substitute the values directly in as there is no discontinuity. $$\lim\limits_{(x,y) \to (\pi, \pi/2)} y*sin(x-y)=\pi/2 * sin (\pi/2) = \pi/2$$
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