The function f(x)=[x]^2-[x^2] (where, [x] is the greatest integer less than or equal to x), is discontinuous at

MHT CET 2022 Mathematics question

The function (where, is the greatest integer less than or equal to ), is discontinuous at

Answer: (D)

Check an integer . Positive : for , and , so , while : discontinuous. For : : , , so ; : , , so ; : continuous. For : : ;

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Question ID VK-094482