JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

The value of

\lim\limits_{n \to \infty } \left\{ {\frac{1}{3} + \frac{2}{{21}} + \frac{3}{{91}} + \ldots + \frac{n}{{{n^4} + {n^2} + 1}}} \right\}

, is

View answer and explanation

Correct option: B

\frac{1}{2}

Option B (

\frac{1}{2}

) is correct because the limit of the given series as n approaches infinity is 1/2, obtained by telescoping the sum.

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