The number of points in the interval [2, 4], at which the function f(x)=[x²-x-1/2], where [·] denotes the greatest integer function, is discontinuous, is _ _ _.

Limit, Continuity and Differentiability: JEE Main 2026 Mathematics question

JEE Main 2026 · 2 Apr, Evening shift · Q25

JEE Main 20262 Apr, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

The number of points in the interval

[2, 4]

, at which the function

f(x)=\left[x^2-x-\frac{1}{2}\right]

, where

[\cdot]

denotes the greatest integer function, is discontinuous, is ______.

Your answerType your answer. Integers and decimals are accepted.