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MHT CET202120 Sep 2021Morning ShiftMathematicsFunctionsActual

If f ( x )=[ x ] , for x (-1,2) , then f is discontinuous at (where [ x ] represents floor function)

Options

  1. Ax =-1,0,1,2
  2. Bx =-1,0,1
  3. Cx =0,1
  4. Dx =2

Correct answer

C. x =0,1

Step-by-step solution

We have f ( x )=[ x ] Let [ x ]= K , an integer. _ x K⁺ f(x)=K and _ x K⁻ f(x)=K-1 Thus given function is not continuous at all integral values in its domain. f is discontinuous at x =0,1 .

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