Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T01:02:17.720Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  20 January 2009

R. E. Allardice
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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