Answer
$\frac{2}{3}$
Work Step by Step
From direct substitution, we have
$\lim\limits_{(x,y) \to (1,1)}\frac{2xy}{x^2+2y^2}=\frac{2(1)(1)}{(1)^2+2(1)^2}$
$=\frac{2}{3}$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 14 - Partial Derivatives - Review - Exercises - Page 992: 9
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