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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