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Which one of the following functions is analytic in the region $\mid z \mid  \leq 1$ ?

  1. $\frac{z^{2}-1}{z} \\ $
  2. $\frac{z^{2}-1}{z+2} \\ $
  3. $\frac{z^{2}-1}{z-0.5} \\ $
  4. $\frac{z^{2}-1}{z+j0.5} $
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