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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = x, g(x) = cases f(t) : 0 t x & , x [0, ] ( x) - 1 & , x > cases Then

Options

  1. Ag(x) is discontinuous at x =
  2. Bg(x) is continuous for x [0, )
  3. Cg(x) is differentiable at x =
  4. Dg(x) is differentiable for x [0, )

Correct answer

B. g(x) is continuous for x [0, )

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