Monday, October 1, 2018

sequences and series - How do I evaluate this sum: :suminftyn=3frac11n+n2cdots+(n)k and k is positive integer?

Wolfram alpha showed after some calculations for evaluation of this series :



n=311n+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=311n+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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