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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

If f(x) = cases |x|-3 & , x < 1 |x-2|+a & , x 1 cases , g(x) = cases 2-|x| & , x < 2 sgn (x)-b & , x 2 cases If h(x) = f(x) + g(x) is discontinuous at exactly one point, then which of the following are correct ?

Options

  1. Aa = -3, b = 0
  2. Ba = -3, b = -1
  3. Ca = 2, b = 1
  4. Da = 0, b = 1

Correct answer

A. a = -3, b = 0

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