(adsbygoogle = window.adsbygoogle || []).push({}); proving Stirling's formula.. help plz

How can I prove Stirling's formula?

n!= integral from 0 to inf. exp(-t) t^n dt= n^n exp(-n) (2 pi n)^0.5

there's a hint to use the substitution t=ny & ln(1+y) = y- 0.5 y^2

I tried to use it but I couldn't intgrate.. I tried integrating by parts but it became more complicated..

Can anyone help?

(How can I write the mathematical symbols here?)

Thanks

**Physics Forums - The Fusion of Science and Community**

# Proving Stirling's formula.. help

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Proving Stirling's formula.. help

Loading...

**Physics Forums - The Fusion of Science and Community**