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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = cases x x - 2 & x 2 1 & x = 2 cases , where k represents the fractional part of k , then :

Options

  1. Af(x) is continuous at x = 2
  2. B_ x 2 f(x) does not exist
  3. C_ x 2 f(x) exists, but f is not continuous at x = 2
  4. D_ x 2 f(x) = 1

Correct answer

B. _ x 2 f(x) does not exist

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