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MHT CET20249 May 2024Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let f (x)=x [ x 2 ] , for -10 x 10 , where [ t ] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to

Options

  1. A10
  2. B9
  3. C6
  4. D8

Correct answer

D. 8

Step-by-step solution

aligned & -10 x 10 & -5 x 2 5 & x 2 =0, 1, 2, 3, 4 aligned But f (x) is continuous at x=0 . There are 8 points of discontinuity i.e. -4,-3 , -2,-1,1,2,3,4 .

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