The function $f(x) = 3 x \ln(1 + x)$ is represented as a power series
$\displaystyle f(x) = \sum_{n=0}^\infty c_n x^n .$
Find the FOLLOWING coefficients in the power series.
$c_2 =$
$c_3 =$
$c_4 =$
$c_5 =$
$c_6 =$
Find the radius of convergence $R$ of the series.
$R =$ .