JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow \infty}} \frac{1^2 \cdot n+2^2 \cdot(n-1)+3^2 \cdot(n-2)+\ldots+n^2 \cdot 1}{1^3+2^3 \ldots+n^3}

, is equal to

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Correct option: A

1 / 3

Option A (1/3) is correct because the limit is evaluated by simplifying the summation expressions and taking the limit as n approaches infinity.

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