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 December 5th, 2018, 06:51 AM #1 Senior Member   Joined: Dec 2015 From: iPhone Posts: 480 Thanks: 73 Series Computation What is the general method to compute an infinite sum ? I will compute one sum function of $\displaystyle f(n,p)=n(p+1)^{-n}$ and see if it works Let $\displaystyle s(n)=\sum^{\infty}_{n=1} np^{-n}\; \;$ for $\displaystyle n \in N$ and $\displaystyle p>1$ $\displaystyle \sum^{\infty}_{n=1} x^n =\frac{1}{1-x} \; \; \;$ where \$\displaystyle 0
 December 5th, 2018, 12:51 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,472 Thanks: 2039 As far as I know, "general" methods for this cover various special cases only.

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