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: 6



Work Step by Step

Factoring out $x+y$ $$\lim\limits_{(x,y) \to (2,-1)} \frac{xy(x+y)}{(x+y)(x-y)}= \lim\limits_{(x,y) \to (2,-1)} \frac{xy}{(x-y)} = \frac{2*-1}{2+1}=-2/3$$
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