Mathematics · 2022
JEE Main · 30 July 2022, Shift 2 · Q72
lim_n → ∞ Σ_k=1^n (n(n^2+k^2))/((n^4+n^2 k^2+k^4)) is equal to
$\displaystyle \lim _{n \rightarrow \infty} \sum_{k=1}^n \frac{n\left(n^2+k^2\right)}{\left(n^4+n^2 k^2+k^4\right)}$ is equal to
Official answer
(3)
$\displaystyle \frac{\pi}{2 \sqrt{3}}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.