Wolfram alpha showed after some calculations for evaluation of this series :
∑∞n=311−n+n2−⋯+(−n)k for example for k=10 ,
I have got this result which it close to 0.
My question here is : : How do I evaluate this sum: :∞∑n=311−n+n2−⋯+(−n)k ?
Note: I exclude the singularity points just i would like to Know how do i evaluate it
Thank you for any help
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