Outline a method for calculating S_k = Σ n^k/n! for n=1 to infinity and compute the first few terms of S_k for natural numbers k.

(In reply to re: Solution - question by brianjn)

Its correct. 1st summation is over n and the second summation is over i.
but on the 4th line I reversed these summations i.e.,
1st summation over i and second over n.

What I want to say is that 3rd line means
S(k)=ΣC(k-1,0)*1/(n-1)!+C(k-1,1)*(n-1)/(n-1)!+C(k-1,2)*(n-1)²/(n-1)!+.........

Posted by Praneeth on 2008-02-20 03:10:13