Answer
a) for all (x,y)
b) for all (x,y) except (0,0)
Work Step by Step
a) We know that $\sin t$ is defined for all real numbers. Thus, for all $(x,y)$
b) $\ln t$ is defined for positive real numbers except for $(0,0)$.
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
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: 31
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