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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

f(x) = [x] and g(x) = cases 0 & , x I x^2 & , x I cases where [ ] denotes the greatest integer function. Then

Options

  1. Agof is continuous for all x
  2. Bgof is not continuous for all x
  3. Cfog is continuous everywhere
  4. Dfog is not continuous everywhere

Correct answer

A. gof is continuous for all x

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