Caano Geel Posted July 8, 2009 What in the damn world is a Somalian someone please explain! Quote Share this post Link to post Share on other sites
Caano Geel Posted July 8, 2009 Also, "Prove that the sequence {(n!)^(1/n)} is divergent, by using stirlings formula." n! = sqrt(2pi*n)C(n, e)^n (apprx.) so n! ^ (1/n) = sqrt(2pi*n)C(n, e)^n * 1^(1/n) = sqrt(2pi*n)C(n, e) now as 'n' approaches infinity, the termm 'sqrt(2pi*n)C(n, e)' gets bigger, and does not go towards zero. Therefore the series is divergent see wikipedia http://en.wikipedia. org/wiki/Stirlings_a pproximation]stir lings approximation[/url] Quote Share this post Link to post Share on other sites
