\[\underset{n\to \infty }{\mathop{\lim }}\,\left\{ \frac{1}{{{n}^{2}}}+\frac{2}{{{n}^{2}}}+\frac{3}{{{n}^{2}}}+......+\frac{n}{{{n}^{2}}} \right\}\]is [SCRA 1996]

\[\underset{n\to \infty }{\mathop{\lim }}\,\left\{ \frac{1}{{{n}^{2}}}

1.	\[\underset{n\to \infty }{\mathop{\lim }}\,\left\{ \frac{1}{{{n}^{2}}}+\frac{2}{{{n}^{2}}}+\frac{3}{{{n}^{2}}}+......+\frac{n}{{{n}^{2}}} \right\}\]is [SCRA 1996]
A.	½
B.	0
C.	1
D.	\[\infty \]
Answer» B. 0

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\[\underset{n\to \infty }{\mathop{\lim }}\,\left\{ \frac{1}{{{n}^{2}}}+\frac{2}{{{n}^{2}}}+\frac{3}{{{n}^{2}}}+......+\frac{n}{{{n}^{2}}} \right\}\]is [SCRA 1996]

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