Given an absolutely summable signal $x[n]$, the $z$-transform $X^z(z)$ is rational with a pole at $z=0.5$.
Given the following the statements:
- $x[n]$ has a finite support in the time domain.
- $x[n]$ is a left sided signal.
- $x[n]$ is a right sided signal.
- $x[n]$ is a two sided signal.
Can anyone please tell which statements are true and explain why or why not?