f(x)=f(x.)+f'(x.)(x-x.)+f''(x.)/2!*(x-x.)^2,+f'''(x.)/3!*(x-x.)^3+……+f(n)(x.)/n!*(x-x.)^n+Rn(x)
f(x)的n阶导数
f(n)(x.)/n!+(Rn(x)的n阶导数)我求了一下f（x）=x^2ln（x+1）ln(x+1)的泰勒展开ln(x+1) = x - x^2/2 + x^3/3 ...+(-1)^(n-1)x^n/n+...f（x）=x^3-x^5/2+x^3/3...+(-1)^(n-3)x^n/(n-2)+...f(n)(x)=(-1)^(n-3)*n!/(n-2)+...