Answer
True
Work Step by Step
The function $f$ is piecewise continuous on the interval $I$ because $f+g$ is continuous on each sub-interval and it approaches to a finite limit.
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: c
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