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
Another approach would be to use the method of steepest descent. Basically, you can find where [itex]t^n e^{-t}[/itex] is a maximum and observe that the most significant contribution to the integral comes from near that maximum.
Re: proving Stirling's formula.. help plz How can I find equivalent Frenkel defects in the crystal through the equivalent Stralink