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


$g$ 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 $x=3$.
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