MathematicsMedium210×since 2002Q3298The value of \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)} is :Aπ8(23+3)\frac{\pi}{8(2 \sqrt{3}+3)}8(23+3)πB(23+3)π24\frac{(2 \sqrt{3}+3) \pi}{24}24(23+3)πC13π8(43+3)\frac{13 \pi}{8(4 \sqrt{3}+3)}8(43+3)13πD13(23−3)π8\frac{13(2 \sqrt{3}-3) \pi}{8}813(23−3)πCheck answerSkip