On Sun, Dec 03, 2006 at 08:49:50PM +0000, Leo wrote:
> Hi all,
>
> I am learning maxima. I want to use it to get the value of the
> following when n goes to infinity.
>
> n
> ====
> \ 1
> > -----------
> / sqrt(n + i)
> ====
> i = 1
> -----------------
> sqrt(n)
I'm sure you've tried just taking the limit using the "limit"
function. This doesn't work.
So you'll have to resort to some mathematics which maxima can help you
with. Does the limit exist?
You could compare it to the following integral:
integrate(1/sqrt(n) * 1/(sqrt(n+i)),i,0,n);
maxima will calculate this and take the limit as n -> inf
Perhaps this will help you.
--
Daniel Lakeland
dlakelan at street-artists.org
http://www.street-artists.org/~dlakelan