TaylorSeries[ (1- 6 x + 15 x^2 - 20 x^3 + 15 x^4)/(1- 7 x + 21 x^2 - 35 x^3), {x, 0, 20}]TaylorSeries[ (1- 6 x + 15 x^2 - 20 x^3 + 15 x^4)/(1- 7 x + 21 x^2 - 35 x^3), {x, 0, 20}]

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