Euler's Infinite Product
\Gamma(s)=\frac{1}{s}\prod_{n=1}^{\infty}\left(1+\frac{1}{n}\right)^s\left(1+\frac{s}{n}\right)^{-1}
This expression of the Gamma Function as an Infinite Product is due to Euler; it is often used to compute the function’s logarithm.
The demonstration we propose makes use of Gauss’s Expression for the Gamma Function.
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