JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim\limits_{n \to \infty } \left\{ {\frac{1}{{1 - {n^2}}} + \frac{2}{{1 - {n^2}}} + \frac{3}{{1 - {n^2}}} + \ldots + \frac{n}{{1 - {n^2}}}} \right\}

is equal to

View answer and explanation

Correct option: B

\frac{{ - 1}}{2}

The correct answer is B (

\frac{{ - 1}}{2}

) because the limit is evaluated by summing the series and then simplifying the expression.

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