question_answer

\[\underset{n\to \infty }{\mathop{\lim }}\,\left\{ \frac{1}{1-{{n}^{2}}}+\frac{2}{1-{{n}^{2}}}+....+\frac{n}{1-{{n}^{2}}} \right\}\] is equal to

A)  0                                

B)  \[-\frac{1}{2}\]

C)  \[\frac{1}{2}\]                         

D)  \[\frac{1}{4}\]

E)  None of these