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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 $\frac{1}{2 \pi \: j} \oint_c f(z) dz$ is

  1. $-2$
  2. $-1$
  3. $1$
  4. $2$
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