JEE MAIN - Mathematics Hindi (2024 - 30th January Morning Shift - No. 2)
$$\lim _\limits{n \rightarrow \infty} \sum_\limits{k=1}^n \frac{n^3}{\left(n^2+k^2\right)\left(n^2+3 k^2\right)}$$ का मान है :
$$\frac{\pi}{8(2 \sqrt{3}+3)}$$
$$\frac{(2 \sqrt{3}+3) \pi}{24}$$
$$\frac{13 \pi}{8(4 \sqrt{3}+3)}$$
$$\frac{13(2 \sqrt{3}-3) \pi}{8}$$
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