Consider the function f$($x$)=($x$)/(1+3$x$^(2)).$

$($a$)$ Write a power series representation for f$($x$)$ about a$=0.$ Write your answer as a single summation using the

$\backslash$sum notation. You may use results available to us$.$

$($b$)$ Find the radius and interval of convergence for the series from part $($a$).$

$($c$)$ Using part aln$(1+3$x$^(2))$ about a$=0.$ Write

your answer as a single summation using the $\backslash$sum ln$(1+$x$)$