Saturday, 15 November 2014

calculus - sum of series of the form sumlimitsinftyn=inftyfrac(1+2n)2exp(frac(1+2n)24).

Consider the series



n=(1+2n)2exp((1+2n)24).



By using Mathematica I found the sum of the series is zero.



Question: I can Show that the series is convergent but I couldn't find its sum. Could anyone please help to find the sum of the series as 0 ? Please help me, I have really no idea to find its sum.




Thank in advance.

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