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JEE Main 2026 Mathematics question

MathematicsContinuity and DifferentiabilityJEE Main 2026

The number of points in the interval [2, 4], at which the function , where [·] denotes the greatest integer function, is discontinuous, is .

Answer: 10

Solution

g(x) = x² − x − 1/2 increases continuously from g(2) = 1.5 to g(4) = 11.5,

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Question ID VK-015134