If [x] denotes the greatest integer x , then Limit _ n , , , , 1 … - Vidyadip

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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