Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - Review - Concept Check - Page 1021: 3


See the explanation below.

Work Step by Step

Suppose a function is considered to be written as $f(x,y)$ with two variables $x,y$ in a set of domain D of real numbers that approaches the point $(a,b)$ along any closed path which lies inside the domain. To show that the limit for such a function does not exist, we will have to two different paths that approaches the point $(a,b)$ with different limits.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.