A definition of the gamma function due to Carl Friedrich Gauss that is valid for all real

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A definition of the gamma function due to Carl Friedrich Gauss that is valid for all real numbers, except x = 0, -1, -2, ..., is given by

Use this definition to show that Γ(x + 1) = xΓ(x).

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

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Question Posted: Nov 02, 2020 05:00 AM

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A definition of the gamma function due to Carl Friedrich Gauss that is valid for all real

Question:

n!n* I(x) = lim x(x + 1)(x + 2).. (x + n)

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At infinity n1 approaches n Al...View the full answer

A First Course in Differential Equations with Modeling Applications

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