If [.] denotes the greatest integer function then \( \lim _{n \righ...

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If [.] denotes the greatest integer function then \( \lim _{n \rightarrow \infty} \frac{[x]+[2 x]+\ldots .+[n x]}{n^{2}} \) is
\( \mathrm{P} \)
W
(a) 0
(b) \( x \)
(c) \( \frac{x}{2} \)
(d) \( \frac{x^{2}}{2} \)
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