JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

[x]

denotes the greatest integer less than or equal to

x

, then

\lim \limits_{{n \rightarrow \infty}} \frac{[x]+[2 x]+[3 x]+\ldots . .+[n x]}{n^2} \text { equals }

View answer and explanation

Correct option: A

x / 2

Option A (

x/2

) is correct because using the properties of the greatest integer function and the sandwich theorem, the limit evaluates to

x/2

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