Question: Show that L(1/t) = /s. [Use (30) (1/2) = in App. 3.1.] Conclude from this that the conditions in Theorem 3 are sufficient but

Show that L(1/√t) = √π/s. [Use (30) Г(1/2) = √π in App. 3.1.] Conclude from this that the conditions in Theorem 3 are sufficient but not necessary for the existence of a Laplace transform.

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