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answered 11 years ago
f.taylor() sends things to Maxima, and does not keep precision. I believe this does.
f.taylor()
sage: f.series(x,5) 0.12345678912345679*x + (-0.061728394561728395)*x^2 + 0.041152263041152263*x^3 + (-0.030864197280864197)*x^4 + Order(x^5)