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Black Book Advanced Problems in MathematicsMathematicsLimits

Let f(x) = cases |x-2| + a^2 - 6a + 9 & , x < 2 5-2x & , x 2 cases If _ x 2 [f(x)] exists, the possible values a can take is/are (where [ ] represents the greatest integer function)

Options

  1. A2
  2. B5 2
  3. C3
  4. D7 2

Correct answer

B. 5 2

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