Henri . Cohen on Sat, 13 Jan 2018 12:09:57 +0100


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Re: Convergence Acceleration for Series


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