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MHT CET202314 May 2023Morning ShiftMathematicsContinuity and DifferentiabilityActual

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

Options

  1. A(A) all irrational numbers x .
  2. Bno x .
  3. Call integer points.
  4. Devery rational x which is not an integer.

Correct answer

C. all integer points.

Step-by-step solution

Greatest integer function is discontinuous on integer values. f (x) is discontinuous at all integer points.

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