JEE Main 2024 Mathematics question
Let f : [−1, 2] → R be given by f(x) = 2x² + x + [x²] − [x], where [t] denotes the greatest integer less than or equal to t. The number of points, where f is not continuous, is:
Answer: (C)
Solution
The polynomial part is continuous, so check where [x²] − [x] jumps: at x = −1 (right limit 2, value 3), x = 0 (left limit 1,
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