$\lim\limits_{n\to \infty}\bigg[\large\frac{1}{1-n^2}+\frac{2}{1-n^2}+..........+\frac{n}{1-n^2}\bigg]$ is

Question

$(a)\;0\qquad(b)\;-\large\frac{1}{2}\qquad$$(c)\;\large\frac{1}{2}$$\qquad(d)\;None\;of\;these$