Mathematics · 2021
JEE Main · 27 July 2021, Shift 1 · Q79
The value of lim_n → ∞ 1/n Σ_j=1^n ((2 j-1)+8 n)/((2 j-1)+ 4 n) is equal to:
The value of $\displaystyle \lim _{\mathbf{n} \rightarrow \boldsymbol{\infty}} \frac{1}{\mathbf{n}} \sum_{j=1}^{\mathbf{n}} \frac{(2 j-1)+8 \mathbf{n}}{(2 j-1)+\mathbf{4} \mathbf{n}}$ is equal to :
Official answer
(2)
$\displaystyle 1+2 \log _{\mathrm{e}}\left(\frac{3}{2}\right)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.