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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

The function f(x) = [ 1- 1-x^2 ] , (where [ ] denotes greatest integer function) :

Options

  1. Ahas domain [-1, 1]
  2. Bis discontinuous at two points in its domain
  3. Cis discontinuous at x = 0
  4. Dis discontinuous at x = 1

Correct answer

A. has domain [-1, 1]

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