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: 32

Answer

a) for all (x,y) except $y=x$ b) For all (x,y)

Work Step by Step

a) There can be zero on the denominator. Thus, for all $(x,y)$ except $y=x$ b) Since, the square of the denominator is not negative.so, the answer is : For all (x,y)
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