definite-integral

Question: The value of $\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{n}{1+{{n}^{2}}}+\frac{n}{4+{{n}^{2}}}+\frac{n}{9+{{n}^{2}}}+....+\frac{1}{2n} \right]$is equal to



1) $\frac{\pi }{2}$
2) $\frac{\pi }{4}$
3) 1
4) None of these
Solution: Explanation: No Explanation
Summation of series by definite Integration

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