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

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Ben Brink

Posts: 197
From: Rosenberg, TX
Registered: 11/11/06
RE: need help with a question
Posted: Oct 18, 2010 6:58 PM
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att1.html (1.1 K)


Dr. Cass:
Had forgotten that definition. Thanks!
Ben

> Date: Mon, 18 Oct 2010 09:56:32 -0400
> From: discussions@mathforum.org
> To: discretemath@mathforum.org
> Subject: Re: need help with a question
>

> > 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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