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Multiple choice

The equation $x^3 - 3x + [a] =0$, will have three real and distinct roots if - (Where [ ] denotes the greatest integer function)

  1. a $\epsilon (-\infty , 2)$
  2. a $\epsilon (0, 2)$
  3. a $\epsilon (-\infty , -2) U (0, \infty)$
  4. a $\epsilon (-1 , 2)$
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