The value of lim n→∞ (1/n) ∑... | Definite Integration

JEE Main 2021

26-08-2021 S1

Question

The value of $\lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=0}^{2 n-1} \frac{n^2}{n^2 4 r^2}$ is:

Select the correct option:

$\frac{1}{2} \tan ^{-1}(2)$

$\frac{1}{2} \tan ^{-1}(4)$

$\tan ^{-1}(4)$

$\frac{1}{4} \tan ^{-1}(4)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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