Question: Suppose f(t) is a function for which f'(t) is piecewise continuous and of exponential order c. Use results in this section and Section 7.1 to

Suppose f(t) is a function for which f'(t) is piecewise continuous and of exponential order c. Use results in this section and Section 7.1 to justify

f(0) = lim sF(s),


where F(s) = ℒ{ f(t)}. Verify this result with f(t) = cos kt.

f(0) = lim sF(s),

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