SumConvergence

SumConvergence[f,n] gives conditions for the sum ∑f to be convergent.

SumConvergence[f,{n1,n2,…}] gives conditions for the multiple sum to be convergent.

SumConvergence[f,{n,a,∞}] gives conditions for the sum to be convergent on the interval [a,∞).

SumConvergence[f,{n,a,∞},…,{m,b,∞}] gives conditions for the multiple sum to be convergent.

Examples

Test convergence of 1/n^2:

SumConvergence[1/n^2, n]
(* True *)

Test convergence with a parameter:

SumConvergence[1/n^p, n]
(* p > 1 *)

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