Suppose f (t) is a function for which f (t) is piecewise continuous and of exponential
Chapter 4, Problem 52(choose chapter or problem)
Suppose f(t) is a function for which \(f^{\prime}(t)\) is piecewise continuous and of exponential order c. Use results in this section and Section 4.1 to justify
\(f(0)=\lim _{s \rightarrow \infty} s F(s)\)
where \(F(s)=\mathscr{L}\{f(t)\}\). Verify this result with f(t) = cos kt.
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