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 - Exercises - Page 771: 8



Work Step by Step

Since the function $ \ln(x-y)$ is continuous at $(1,0)$, then we have $$ \lim\limits_{(x,y) \to (1,0)} \ln(x-y)=\ln(1-0)=\ln1=0.$$
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