Suppose that f and f are continuous for t 0 and of exponential order as t

Chapter 6, Problem 29

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Suppose that f and f are continuous for t 0 and of exponential order as t . Useintegration by parts to show that if F(s) = L{f(t)}, then lims F(s) = 0.The result is actuallytrue under less restrictive conditions, such as those of Theorem 6.1.2.

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