Approximation of factorial - Stirling formula

Asked Jan 12 '13 at 11:41

Active Jan 12 '13 at 11:41

Viewed 90 times

Possible Duplicate:
Elementary central binomial coefficient estimates

How can I prove that $$ \binom{n}{n/2} = \Theta\left(\frac{2^n}{\sqrt n}\right) $$

I tried with Stirlings approximation formula, but still don't find a way of doing it correctly :(

Thanks for any help!

edited Apr 13 '17 at 12:21

Community

asked Jan 12 '13 at 11:41

user46317

Useful keywords 'central binomial coefficient' for $n$ even. – Raymond Manzoni Jan 12 '13 at 12:09
1

Well, Stirling's formula is one fairly straightforward way of doing it. So what did you do, and what went wrong? – Alexander Shamov Jan 12 '13 at 13:11

0 Answers0