The number of points of discontinuity of the function f(x) = (x²)/2 - √(x), x [0, 4], where · denotes the greatest integer function, is _ _ _

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q196

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

The number of points of discontinuity of the function

f(x) = \left\lfloor \frac{x^2}{2} \right\rfloor - \left\lfloor \sqrt{x} \right\rfloor, x \in [0, 4]

, where

\lfloor \cdot \rfloor

denotes the greatest integer function, is _____

Your answerInteger or decimal

JEE Main 2025 · April, Unspecified (session-level dataset) · Q196

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

The number of points of discontinuity of the function

f(x) = \left\lfloor \frac{x^2}{2} \right\rfloor - \left\lfloor \sqrt{x} \right\rfloor, x \in [0, 4]

, where

\lfloor \cdot \rfloor

denotes the greatest integer function, is _____

Your answerInteger or decimal