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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = (x, x^2, x^3) in -2 x 2 . Then :

Options

  1. Af(x) is continuous in -2 x 2
  2. Bf(x) is not differentiable at x = 1
  3. Cf(-1) + f ( 3 2 ) = 35 8
  4. Df'(-1) f' ( 3 2 ) = -35 4

Correct answer

A. f(x) is continuous in -2 x 2

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