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Limits Continuity and Differentiability question

2025 · 7 Apr · Shift 1 · Q48

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 7 Apr · Shift 1 · Q48

Limits Continuity and Differentiability question

2025 · 7 Apr · Shift 1 · Q48

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

The number of points of discontinuity of the function

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

, where

[\cdot]

denotes the greatest integer function, is

\underline{\hspace{2cm}}

.

Numerical answer

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