DEFINITE INTEGRATION_JEE-Main 300124_(S1) - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN 2024

30-01-2024 S1

Question

The value of $\lim _{n \rightarrow \infty} \sum_{k=1}^n \frac{n^3}{\left(n^2+k^2\right)\left(n^2+3 k^2\right)}$ is:

Select the correct option:

$\frac{(2 \sqrt{3}+3) \pi}{24}$

$\frac{13 \pi}{8(4 \sqrt{3}+3)}$

$\frac{13(2 \sqrt{3}-3) \pi}{8}$

$\frac{\pi}{8(2 \sqrt{3}+3)}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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