Answer
$$ 3$$
Work Step by Step
Given
$$\lim _{(x, y) \rightarrow(1,2)}\left(x^{2}+y\right)$$
Since $x^2+y$ is a continuous polynomial, then by substitution, we get
$$ \lim _{(x, y) \rightarrow(1,2)}\left(x^{2}+y\right) =1^2+2=3$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 1
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