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proving Stirling's formula.. help please
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
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
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