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Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}$. If $C$ is a counterclockwise path in the z-plane such that $\mid z+1 \mid=1$, the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is

  1. $-2$
  2. $-1$
  3. $1$
  4. $2$
in Vector Analysis by (15.8k points)
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