Re: Convergence Acceleration for Series

[Henri.Cohen@math.u-bordeaux.fr]

You can also do

f(N)=sum(n=1,N,n^n*exp(-n)*sqrt(2*Pi)/n!)-2*sqrt(N);

limitnum(f,,1/2) /* the two commas are essential */

which gives you -2/3*sqrt(2*Pi) (with less accuracy).

Just a question: are these sums or limits easy to prove ?

Henri Cohen