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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Consider a function f(x) in [0, 2 ] defined as : f(x) = cases [ x] + [ x] & ; 0 x [ x] - [ x] & ; < x 2 cases where [ ] denotes greatest integer function then Number of points where f(x) is non-derivable :

Options

  1. A2
  2. B3
  3. C4
  4. D5

Correct answer

C. 4

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