|The Gamma function is defined as, Γ(x)||=|
|tx1 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