If [x] denotes the greatest integer ≤ x, then {[1 2 x] + […

Maths Functions, Limits, Continuity and Differentiability Limits Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If [x] denotes the greatest integer ≤ x, then

{[1 2 x] + [2 2 x] + [3 2 x] + ….+ [n 2 x]} equals :

x/2

x/3

x/6

Text Solution

Verified by Experts

The correct answer is:

x ∈ I, [x] = x

⇒

= x. (difference of power of N r and N r is one)

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