Answer
True
Work Step by Step
When $f \to b^{-}$, then $\lim\limits_{f \to b^{-}}f(b)=f(b)$
When $f \to b^{+}$, then $\lim\limits_{f \to b^{+}}f(b)=f(b)$
We see that $f$ is continuous on $[a,c]$
Therefore, the given statement is $\bf{True}$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 10 - The Laplace Transform and Some Elementary Applications - 10.1 Definition of the Laplace Transform - True-False Review - Page 675: d
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