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General Factorial
Problem
| The Gamma function is defined as, Γ(x) | = |  |
| tx 1 et dt. |
Given that Γ(x) is continuous for x 
0 prove that Γ(x + 1) = x! for all positive integer values, and consequently is a candidate for extending the factorial function to non-integer positive values.
Problem ID: 251 (02 Dec 2005) Difficulty: 4 Star
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