\[\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{k=1}^{n}{\frac{k}{{{n}^{2}}+{{k}^{2}}}}\]is equals to [Roorkee 1999]

\[\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{k=1}^{n}{\frac

1.	\[\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{k=1}^{n}{\frac{k}{{{n}^{2}}+{{k}^{2}}}}\]is equals to [Roorkee 1999]
A.	\[\frac{1}{2}\log 2\]
B.	\[x=\frac{3\pi }{4}\]
C.	\[\pi /4\]
D.	\[\pi /2\]
Answer» B. \[x=\frac{3\pi }{4}\]

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\[\underset{n\to \infty }{\mathop{\lim }}\,\sum\limits_{k=1}^{n}{\frac{k}{{{n}^{2}}+{{k}^{2}}}}\]is equals to [Roorkee 1999]

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