Evaluate Limit with Factorials: \lim_{n \to \infty}

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Thread starter pseudogenius
Start date Apr 8, 2010
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Factorials Limit

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pseudogenius

Thread starter
Apr 8, 2010

Anyone know of any method to evaluate this limit,

[tex]\lim_{n \to \infty} \frac{n!}{\left(\frac{n+p}{2}\right)!\left(\frac{n-p}{2}\right)!}2^{-n}[/tex]

it seems to go to zero, but I have no way to be sure.

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Hurkyl

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Apr 8, 2010

What did you get from Stirling's approximation?

Evaluate Limit with Factorials: \lim_{n \to \infty}

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Evaluate Limit with Factorials: \lim_{n \to \infty}

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