If [.] denotes the greatest integer function, then \[\underset{n\,\to \,\infty }{\mathop{\lim }}\,\frac{[x]+[2x]+...+[nx]}{{{n}^{2}}}\] is

If [.] denotes the greatest integer function, then \[\underset{n\,\to

1.	If [.] denotes the greatest integer function, then \[\underset{n\,\to \,\infty }{\mathop{\lim }}\,\frac{[x]+[2x]+...+[nx]}{{{n}^{2}}}\] is
A.	0
B.	\[x\]
C.	\[\frac{x}{2}\]
D.	\[\frac{{{x}^{2}}}{2}\]
Answer» D. \[\frac{{{x}^{2}}}{2}\]

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If [.] denotes the greatest integer function, then \[\underset{n\,\to \,\infty }{\mathop{\lim }}\,\frac{[x]+[2x]+...+[nx]}{{{n}^{2}}}\] is

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