If [x] denotes the greatest integer le x...

If [x] denotes the greatest integer `le x`, then `underset(n rarr oo)lim(1)/(n^(3)){[1^(2)x]+[2^(2)x]+[3^(2)x]+...+[n^(2)x]}=`

A

`(x)/(2)`

B

`(x)/(3)`

C

`(x)/(6)`

D

0

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The correct Answer is:

B

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