Answer
$\frac{2}{3}$
Work Step by Step
From direct substitution, we have
$\lim\limits_{(x,y) \to (1,1)}\frac{2xy}{x^2+2y^2}=\frac{2(1)(1)}{(1)^2+2(1)^2}$
$=\frac{2}{3}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 14 - Partial Derivatives - Review - Exercises - Page 1022: 9
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