The Maclaurin series for $f(x) = \frac{x}{\sqrt[3]{8 + 6 x^2}}$ is $\sum_{n=0}^\infty c_n x^n.$
Find the first few coefficients.
$c_0 =$
$c_1 =$
$c_2 =$
$c_3 =$
$c_4 =$
$c_5 =$
The radius of convergence for the series is