Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 14 - Review - True-False Quiz - Page 982: 8



Work Step by Step

$f(x,y)=\frac{1}{(x-2)^{2}+(y-5)^{2}}$ $\lim\limits_{(x,y) \to (2,5)}f(x,y)=\lim\limits_{(x,y) \to (2,5)}\frac{1}{(2-2)^{2}+(5-5)^{2}}=\frac{1}{0}=\infty$ which is not equal to $f(2,5)$ Hence, the statement is false.
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