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Mathematics · 2025

JEE Main · 7 April 2025, Shift 1 · Q25

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

The number of points of discontinuity of the function $\displaystyle f(x)=\left[\frac{x^2}{2}\right]-[\sqrt{x}], x \in[0,4]$, where $\displaystyle [\cdot]$ denotes the greatest integer function, is $\displaystyle \_\_\_\_$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.