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MHT CET20239 May 2023Morning ShiftMathematicsContinuity and DifferentiabilityActual

The number of discontinuities of the greatest integer function f (x)=[x], x (- 7 2 , 100 )

Options

  1. A104
  2. B100
  3. C102
  4. D103

Correct answer

D. 103

Step-by-step solution

aligned & f (x)=[x] & x ( -7 2 , 100 ) & x (-3.5,100) aligned As we know greatest integer is discontinuous on integer values in given interval, the integer values are -3,-2,-1,0 99 Total number of discontinuities are 103 .

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