If $[x]$ denotes the greatest integer $\le x$,then $\mathop {\text{Limit}}\limits_{n \to \infty } \frac{1}{n^4} \left( [1^3 x] + [2^3 x] + \dots + [n^3 x] \right)$ equals

  • A
    $x/2$
  • B
    $x/3$
  • C
    $x/6$
  • D
    $x/4$

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