Answer
$-1$
Work Step by Step
$\lim\limits_{(x,y) \to (1,1)} \dfrac{(x-1)(y-2)}{(x-1)}=\lim\limits_{(x,y) \to (1,1)}(y-2)$
Plug the limits, then we get $1-2=-1$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
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: 15
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