# gamma function identity

Hi my brilliant friends.. This identity of gamma function is well known . actually I need help to prove it by using Stirling's approximation. The identity is $\Gamma (x) = \lim_{n\to\infty} \frac{n! n^{x-1}}{x(x-1)(x-2)......... (x+n-1)}$ How we can prove it by Stirling's approximation??? Please post an obvious proof.. thanks

Note by Refaat M. Sayed
5 years, 8 months ago

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- 5 years, 8 months ago

BINGO :D LOL!

- 5 years, 8 months ago

Haha thanks!

- 5 years, 8 months ago

Come back to Slack. I'll explain you how I did it.

- 5 years, 8 months ago

@Calvin Lin ... How we can insert images in comment?

- 5 years, 8 months ago

There's a partial proof I could do

How to insert image in comments??

It is to long for latexing. Please tell me how to insert images.

1

2

- 5 years, 8 months ago

first upload any pic u want to insert, on www.postimage.org, they provide a link for that image.

while writing solutions , write the following:

You should replace the word "link" by the link provided by that website, then close the paranthesis.

- 5 years, 8 months ago

- 5 years, 8 months ago

- 5 years, 8 months ago

try to paste the direct links

- 5 years, 8 months ago