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Black Book Advanced Problems in MathematicsMathematicsLimits

Consider the function f(x) = cases (x, 1 x ) (x, 1 x ) & , if x 0 1 & , if x = 0 cases , then _ x 0^- f(x) + _ x 1^- f(x) + _ x -1^- [f(x)] = (where denotes fraction part function and [ ] denotes greatest integer function)

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

A. 0

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