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## Homework Statement

The absolute value of the gamma function [itex] \Gamma (x) [/itex] that is defined on the negative real axis tends to zero as [itex] x \to - \infty [/itex]. Right? But how do I prove it?

## Homework Equations

## The Attempt at a Solution

I've tried to use Gauss's Formula:

[tex] \Gamma(x)=\lim_{n\to\infty}\frac{n!n^{z}}{z(z+1) \cdots (z+n)}. [/tex]

Should I keep going in this direction?

But frankly, the calculation gets too technical so it'd be better if there is a bit easier way.