Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - 15.2 Limits and Continuity in Several Variables - Preliminary Questions - Page 771: 2

Answer

$$27$$

Work Step by Step

Since $ f(x,y)$ is continuous at $(2,3)$, then we have $$ f(2,3)=\lim\limits_{(x,y) \to (2,3)}f(x,y)=\lim\limits_{(x,y) \to (2,3)}y^3=3^3=27.$$
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