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Topic: need help with a question
Replies: 8   Last Post: Nov 27, 2012 10:19 AM

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Dan Cass

Posts: 442
Registered: 12/6/04
Re: need help with a question
Posted: Oct 18, 2010 9:56 AM
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> Prove that a! E O(aa)
>
> p.s (aa) is suppose to be "a to the power of a"


Does this mean that a! (a factorial) is bounded
by some positive constant K times a^a
(where a^a is standard for a to the power a)?

Usually to say that f(x) = O(g(x)) as x --> infinity
means there is a positive constant K such that
(for x sufficiently large)
f(x) <= k*g(x).

You may want to look up Serling's approximation
to n!. It gives an asymptotic estimate of n!
which may be of use to answer your question.



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