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JEE-MAIN 2021
17-03-2021 S2
Question
The value of $\lim _{n \rightarrow \infty} \frac{[r]+[2 r]+\ldots \ldots+[n r]}{n^2}$ where $r$ is non-zero real number and $[r]$ denotes the greatest integer less than or equal to $r$, is equal to :
Select the correct option:
A
$\frac{r}{2}$
B
r
C
2r
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
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