_ n 1 1-n^ 2 + 2 1-n^ 2 + + n 1-n^ 2 is equal to

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{n \rightarrow \infty}\left\{\frac{1}{1-n^{2}}+\frac{2}{1-n^{2}}+\ldots+\frac{n}{1-n^{2}}\right\} \text { is equal to }\)
  1. 0
  2. none of these

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(A) 0

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