Compute the convergence set for the following power series. Use interval notation for your answers.

$\displaystyle\sum_{n=0}^{\infty} \frac{x^n}{(n+1)2^{n}}$ converges for
$\displaystyle\sum_{n=1}^{\infty} \frac{(x-1)^n}{n}$ converges for
$\displaystyle\sum_{n=1}^{\infty} \frac{(x-1)^n}{n!}$ converges for
$\displaystyle\sum_{n=17}^{\infty} \frac{(x+1)^n}{3^n}$ converges for