Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.2 - Limits and Continuity in Higher Dimensions - Exercises 14.2 - Page 796: 31


a) for all (x,y) b) for all (x,y) except (0,0)

Work Step by Step

a) As we know that $\sin t$ is defined for all real numbers. Therefore, it is defined for all $(x,y)$ b) Since, $\ln t$ is defined for positive real numbers, that is, for all (x,y) except for $(0,0)$.
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