Please answer a through c and if possible show steps.

For the series below, $($a$)$ find the series' radius and interval of convergence. For what values of $x$ does the series converge $($b$)$ absolutely$,($c$)$ conditionally?

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1+2+3+...+n}{1^2+2^2+3^2+...+n^2}{x}^n$