$\lim\limits_{n\to \infty}\left\{\large\frac{1}{1-n^2} + \frac{1}{1-n^2} +......+ \large\frac{n}{1-n^2}\right\}$ is equal to

Question

$(a)\;0\qquad(b)\;-1/2\qquad(c)\;1/2\qquad(d)\;None\;of\;these$