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summation ((1/n)*x**n,(n,1,oo ))

Evaluate with respect to…

solve(Piecewise((-log(-x + 1), And(Abs(x) <= 1, x != 1)), (Sum(x**n/n, (n, 1, oo)), True)), n)
diff(Piecewise((-log(-x + 1), And(Abs(x) <= 1, x != 1)), (Sum(x**n/n, (n, 1, oo)), True)), n)
series(Piecewise((-log(-x + 1), And(Abs(x) <= 1, x != 1)), (Sum(x**n/n, (n, 1, oo)), True)), n, 0, 10)
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