definite-integral

Question: $\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{k=1}^{n}{\frac{k}{{{n}^{2}}+{{k}^{2}}}}$is equals to



1) $\frac{1}{2}\log 2$
2) $x=\frac{3\pi }{4}$
3) $\pi /4$
4) $\pi /2$
Solution: Explanation: No Explanation
Summation of series by definite Integration

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