MCQ
If $[x] $ denotes the greatest integer $\le x$ , then

$\mathop {Limit}\limits_{n\,\, \to \,\,\infty } $$\frac{1}{{{n^4}}}$ $\left( {\left[ {{1^3}\,x} \right]\,\, + \,\,\left[ {{2^3}\,x} \right]\,\, + \,\,......\,\, + \,\,\left[ {{n^3}\,x} \right]} \right)$ equals

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

Answer

Correct option: D.
$x/4$
d

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