Find the Maclaurin series of the function $f(x) =3 x^3-7 x^2-4 x+7$.
$$f(x) = \sum_{n=0}^\infty c_n x^n$$
Determine the following coefficients:
$c_0 =$
$c_1 =$
$c_2 =$
$c_3 =$
$c_4 =$

Find the radius of convergence: $R =$

Note: Enter inf if the radius of covergence is infinity .