二项式函数(1+x)^m的麦克劳林展开式是()A. x-(x^2)/(2)+(x^3)/(3)-...+(-1)^n(x^n)/(n)+...(|x|B. x+(x^2)/(2)+(x^3)/(3)+...+(x^n)/(n)+...(|x|C. 1-mx+(m(m-1))/(2!)x^2-...+(-1)^n(m(m-1)...(m-n+1))/(n!)x^n+...(|x|D. 1+mx+(m(m-1))/(2!)x^2+...+(m(m-1)...(m-n+1))/(n!)x^n+...(|x|

A. $x-\frac{x^2}{2}+\frac{x^3}{3}-\cdots+(-1)^n\frac{x^n}{n}+\cdots(|x|< 1)$

B. $x+\frac{x^2}{2}+\frac{x^3}{3}+\cdots+\frac{x^n}{n}+\cdots(|x|< 1)$

C. $1-mx+\frac{m(m-1)}{2!}x^2-\cdots+(-1)^n\frac{m(m-1)\cdots(m-n+1)}{n!}x^n+\cdots(|x|< 1)$

D. $1+mx+\frac{m(m-1)}{2!}x^2+\cdots+\frac{m(m-1)\cdots(m-n+1)}{n!}x^n+\cdots(|x|< 1)$