Hello everyone,

I just had a couple questions about Laurent series.

How do I find the Laurent series of:

$\displaystyle z^{2}cos(\frac{1}{3z})$ in the region $\displaystyle \left | z \right | > 0$

How do I find the Laurent series expansion of $\displaystyle (z^{2} - 1)^{-2}$ valid in the regions:

a) $\displaystyle 0 < \left | z-1 \right |< 2$

b) $\displaystyle \left | z+1 \right |> 2$

Any help would be great. Thanks for your time!