Answer
See below
Work Step by Step
Given: $f(t)=\frac{1}{t-2}$
Since the limit doesn't exist at $x=2$ hence, the given function is not piecewise continuous $[0,\infty)$
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 - Problems - Page 676: 30
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