For what values of $z \in \mathbb{C}$ does the following series converge:
$$\displaystyle \sum_{n=0}^{\infty} \frac{2^n+n^2}{3^n+n^3}z^n\quad ?$$
For what values of $z \in \mathbb{C}$ does the following series converge:
$$\displaystyle \sum_{n=0}^{\infty} \frac{2^n+n^2}{3^n+n^3}z^n\quad ?$$