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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = cases x - e^x + 1 - 1 - 2x x^2 & x 0 k & x = 0 cases is continuous at x = 0 then, which of the following statement is false ? (where [ ] denotes greatest integer function and denotes fraction part function.)

Options

  1. Ak = -5 2
  2. Bk = 1 2
  3. C[k] = -2
  4. D[k] k = -3 2

Correct answer

C. [k] = -2

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