Calculus: Early Transcendentals 8th Edition

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

Chapter 14 - Section 14.2 - Limits and Continuity - 14.2 Exercise - Page 911: 27


Discontinuous along the line $y=x$

Work Step by Step

Consider the function $f(x,y)=e^{1/x-y}$ Use the maple command to plot the graph of the function as depicted below: Suppose $x-y=0$ $y=x$ Therefore, the function $f(x,y)=e^{1/x-y}$is discontinuous at all points which satisfy $y=x$ Hence, the function is discontinuous along the line $y=x$
Small 1521554881
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.