f(x)和各阶导数如下f'(x) = -1/(1+x)^2f''(x) = 2/(1+x)^3f'''(x) = -2*3 / (1+x)^4.f(n)(x) = (-1)^n n!/ (1+x)^(n+1)根据泰勒级数公式可以得到f(x)= f(0) + f'(0)x + f''(0)x^2 + f'''(0)x^3 + ......+f(n)(0)x^(n...