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I am trying to compute numerically NSum[(-1)^n/n^3, {n, 1, Infinity}]. Of course, using first Sum would work here, but often it's not an option (no closed-form). I would like to compute the sum with an arbitrary number of digits.
So far, I've found that
NSum[(-1)^n/n^3, {n, 1, Infinity},
Worki...