If [x] denotes the greatest integer ≤ x, then Limit _ n 1 n^ 4 ( [1^ 3 x ]+ [2^ 3 x ]+ +…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If [x] denotes the greatest integer ≤ x, then \(\operatorname{Limit}_{n \rightarrow \infty} \frac{1}{n^{4}}\left(\left[1^{3} x\right]+\left[2^{3} x\right]+\ldots+\left[n^{3} x\right]\right)\) equals
- x/2
- x/3
- x/6
- x/4
Answer
(D) x/4
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