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

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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?

Transcribed Image Text:

x"-le dx,n>0.

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Calculus

Calculus

ISBN: 978-0131429246

9th edition

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

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