Answer
True
Work Step by Step
$f$ is continuous means:
1) $f$ is defined in $c$
2) $\displaystyle\lim_{x\rightarrow c^-} f(x)=f(c)$
3) $\displaystyle\lim_{x\rightarrow c^+} f(x)=f(c)$
So according to condition 3), the statement is TRUE.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 14 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - 14.3 One-sided Limits; Continuous Functions - 14.3 Assess Your Understanding - Page 890: 11
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