題目 Problem 一、單選題 The third-degree Taylor polynomial about x=0x=0x=0 of ln(1−x)\ln(1-x)ln(1−x) is (A) −x−x22−x33-x-\dfrac{x^2}{2}-\dfrac{x^3}{3}−x−2x2−3x3 (B) 1−x+x221-x+\dfrac{x^2}{2}1−x+2x2 (C) x−x22+x33x-\dfrac{x^2}{2}+\dfrac{x^3}{3}x−2x2+3x3 (D) −1+x−x22-1+x-\dfrac{x^2}{2}−1+x−2x2 (E) −x+x22−x33-x+\dfrac{x^2}{2}-\dfrac{x^3}{3}−x+2x2−3x3。 解答