- #1
Ryuky
- 6
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Hello all.
I am doing a school paper on Stirling's formula and I want first to show how the factor e comes into place. So I found somewhere on the net the definition n! = (1-1/2)×(1-1/3)2... × (1-1/n)n-1] × nn.
I will then use this result and the definition of e^x since we are talking for large n to proceed.
Problem is, how do I prove it? Although I haven't tried induction yet, I was told that I should find an algebraic method.
I don't want a complete solution, just a hint to guide me through the proof.
Thank you
I am doing a school paper on Stirling's formula and I want first to show how the factor e comes into place. So I found somewhere on the net the definition n! = (1-1/2)×(1-1/3)2... × (1-1/n)n-1] × nn.
I will then use this result and the definition of e^x since we are talking for large n to proceed.
Homework Statement
Problem is, how do I prove it? Although I haven't tried induction yet, I was told that I should find an algebraic method.
I don't want a complete solution, just a hint to guide me through the proof.
Thank you
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