Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 14 - Review - Concept Check - Page 981: 4


a) See the explanation below. b) See the explanation below.

Work Step by Step

a) Suppose a function is written as $f(x,y)$ with two variables $x,y$ in a set of domain D of real numbers which is continuous at the point $(a,b)$ along any closed path which lies inside the domain when it follows the below condition: $\lim\limits_{(x,y) \to (a,b)}f(x,y)=f(a,b)$ b) This means that the graph for the function $f(x,y)$ will be a surface or solid undisturbed surface without any holes or breaks.
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