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On Stirling's approximation to n! when n is large

Published online by Cambridge University Press:  20 January 2009

R. E. Allardice
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The approximation is

We have

Now assume

where A differs from 1/12 by a quantity of the order of 1/n, since the above series for x is convergent; and since n is large, A may be taken to be 1/12.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 6 , February 1887 , pp. 22 - 24
Copyright
Copyright © Edinburgh Mathematical Society 1887