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<H1>Stirling's formula</H1>
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(definition)
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<strong>Definition:</strong>
For large values of n, (n/e)<sup>n</sup> <img src="sqrt.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/sqrt.gif" border=0 height=15 width=12 alt="square root of">(2n <img src="pi.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/pi.gif" border=0 height=7 width=8 alt="pi">) < <a href="factorial.html" tppabs="http://hissa.nist.gov/dads/HTML/factorial.html"><em>n!</em></a> < (n/e)<sup>n</sup>(1 + 1/(12n-1)) <img src="sqrt.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/sqrt.gif" border=0 height=15 width=12 alt="square root of">(2n <img src="pi.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/pi.gif" border=0 height=7 width=8 alt="pi">).
<P><strong>See also</strong>
<a href="stirlingappx.html" tppabs="http://hissa.nist.gov/dads/HTML/stirlingappx.html"><em>Stirling's approximation</em></a>, <a href="factorial.html" tppabs="http://hissa.nist.gov/dads/HTML/factorial.html"><em>factorial</em></a>, <a href="gammafunctn.html" tppabs="http://hissa.nist.gov/dads/HTML/gammafunctn.html"><em>gamma function</em></a>.
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
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Entry modified Fri Dec 10 12:54:58 1999.<BR>
HTML page formatted Wed Dec 22 09:36:37 1999.
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