(Gamma Function) Let Î(n) = This integral converges by Problems 51 and 52. Show each of the...

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(Gamma Function) Let Γ(n) =
(Gamma Function) Let Γ(n) = 
This integral converges by Problems

This integral converges by Problems 51 and 52. Show each of the following (note that the gamma function is defined for every positive real number n):
(a) Γ(1) = 1
(b) Γ (n + 1) = n Γ(n)
(c) Γ(n + 1) = n!, if n is a positive integer?

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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