The function f(x)=[x] ( 2x-1 2 ) , where [ ] denotes the greatest integer function, is discontinuous at

MHT CET 2023 Mathematics question

The function , where denotes the greatest integer function, is discontinuous at

Answer: (B)

, so . At non-integer points is locally constant and is continuous, so is continuous there. At an integer : ; and $_{x→

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Question ID VK-098395