JEE Main20257 Apr 2025Morning ShiftMathematicsContinuity and DifferentiabilityActual

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 ________

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Check for [ x^2 2 ] and [ x ] becomes integers. 0,1, 2 , 2, 6 , 8 , 10 , 12 , 14 , 4 Continuous at 0⁺ , continuous at 4⁻ [ x^2 2 ]=[ x ] , occurs at x= 2 Not continuous

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