Mathematics · 2021
JEE Main · 26 August 2021, Shift 1 · Q70
The value of lim_n → ∞ 1/n Σ_r=0^2 n-1 n^2/(n^2+4 r^2) is:
The value of $\displaystyle \lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=0}^{2 n-1} \frac{n^2}{n^2+4 r^2}$ is :
Official answer
(2)
$\displaystyle \frac{1}{2} \tan ^{-1}(4)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.