Find the residue of the following.

(a) $\displaystyle \text{Res}(f, z_0=0)$, where $\displaystyle f(z)=\frac{e^z}{\sin(2z^2)}$

(b) $\displaystyle \text{Res}(f, z_0=0)$, where $\displaystyle f(z) = \frac{\cos(\frac{1}{z})}{e^z}

$

We are just beginning residues right now, and I do not know how to proceed. Should I use the Laurent expansion to find the residue for both parts? I am not very familiar with residues yet. Thanks very much.