I'd think you could use the truncated asymptotic expansion here. Define
*gg(x):=x^x*%e^-x*sqrt(2*%pi*x);
*then calculate
* limit (gg((x+1)/2)/(sqrt(x)*gg(x/2)),x,inf)
*getting 1/sqrt(2) as expected.
-s
On Nov 24, 2007 3:03 PM, David Joyner <wdjoyner at gmail.com> wrote:
> A very low-priority question: Out of curiousity,
> a friend asked if Maxima could compute the limit
> limit (gamma ((x+1)/2)/(sqrt(x)*gamma (x/2)),x,inf)
> (I believe that the answer should be 1/sqrt(2)).
>