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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let [ ] denotes the greatest integer function and f(x) = [ ^2 x] , then

Options

  1. A_ x 0 f(x) does not exist
  2. Bf(x) is continuous at x = 0
  3. Cf(x) is not differentiable at x = 0
  4. Df'(0) = 0

Correct answer

B. f(x) is continuous at x = 0

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