Calculus (3rd Edition)

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

Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 66: 3

Answer

$g$ has a removable discontinuity at $x=3$ (remove with $g(3)=4.5$).

Work Step by Step

Since lim $_{x \rightarrow 3} g(x)$ exists, the function $g$ has a removable discontinuity at $x=3 .$ Assigning $g(3)=4.5$ makes $g$ continuous at $x=3$.
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.