Give the Laurent series expansion for the function $\displaystyle f(z)$ centered at $\displaystyle z_0$. State the possible domains.

$\displaystyle f(z) = e^z\sin z$ $\displaystyle z_0=0$

Here, I see I will get two series multiplied together. I do not see how to get one Laurent series expansion for this one though. Any hints would be nice. Thanks in advance.