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Integration of the complex function  $f(z)=\frac{z^2}{z^2-1}$ , in the counterclockwise direction, around $\mid z-1 \mid$ = $1$, is

  1. $-\pi i$
  2. $0$
  3. $\pi i$
  4. $2 \pi i$
in Calculus by (9.3k points)
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