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Original Message (ID '207628') By Bill Simpson:
Try something like this and see if you can use it to get closer to where you are trying to go. partialsums[x_] := If[x == 0, 0, FullSimplify[Sum[(-1)^(n + 1) (2/n) Sin[n x], {n, 1, Infinity}]]]; ListPlot[Table[{x, partialsums[x]}, {x, -10, 10}], Joined -> True] I am not sure this is what you really want, but it is the best guess I have.