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- #1

$$

\frac{2\pi i}{f'(z_0)}=\int_C\frac{1}{f(z)-f(z_0)}dz,

$$

where $C$ is some circle centered at $z_0$.

If I re-write the above expression, it is saying the winding number is 1, correct? I am not sure with what to do next or if that is the correct observation.