Mathematics · 2024
JEE Main · 30 January 2024, Shift 1 · Q10
The value of lim_n → ∞ Σ_k=1^n n^3/((n^2+k^2)(n^2+3 k^2)) is:
The value of $\displaystyle \lim _{n \rightarrow \infty} \sum_{k=1}^n \frac{n^3}{\left(n^2+k^2\right)\left(n^2+3 k^2\right)}$ is :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{13 \pi}{8(4 \sqrt{3}+3)}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.