Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - Chapter Review Exercises - Page 835: 9



Work Step by Step

Given $$ \lim _{(x, y) \rightarrow(1,-3)}\left(x y+y^{2}\right)$$ Since $ \left(x y+y^{2}\right) $ is a continuous function, then \begin{align*} \lim _{(x, y) \rightarrow(1,-3)}\left(x y+y^{2}\right)&=\lim _{(x, y) \rightarrow(1,-3)}\left((-3)+(-3)^{2}\right)\\ &=6 \end{align*}
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