University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 13 - Section 13.2 - Limits and Continuity in Higher Dimensions - Exercises - Page 691: 32


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

Work Step by Step

a) There can be no zero in the denominator. Thus, for all $(x,y)$ except $y=x$ b) Here, the square of the denominator is not negative. Thus, for all (x,y) Hence, our answers are: a) for all (x,y) except $y=x$ b) for all (x,y)
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