I'm struggling to understand the ways in which one could find the laurent series and there for the residuals for:
Find the Laurent series expansion and residue at
$$
\left(\frac{z}{z-1}\right)^2
$$
for $z = 1$
Any help that could be provided as to where to start would be appreciated. I attempted differentiating the Laurent series expansion for
$$
\frac{1}{z-1}
$$
Aswell as trying to multiply out the coefficients of the Laurent expansion for
$$
\frac{1}{z-1}
$$
But have had no luck whatsoever and just get myself into a state.
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