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**mathmari****Member**- Registered: 2013-03-31
- Posts: 2

Hello!!! Could anyone help me to solve this exercise?

Using Stirling's formula show that( see the first uploaded image), where S(x)=-xlnx-(1-x)ln(1-x), 0<=x<=1.

I used n!=e^(-n)n^(n+1/2)(2π)^(1/2)*(1+O(1/n)) and my result is (see the second uploaded image).

Is this equal to the result i have to show??

Thank you!!!!

*Last edited by mathmari (2013-03-31 08:09:48)*

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**stapel****Member**- Registered: 2006-07-22
- Posts: 15

For other users, the images contain the following:

...and:

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