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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 9:57 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.

OOPS I meant to write "Sterling's approximation".
Serling was the writer of the Twilight Zone...

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