The function $\displaystyle f(x) = \frac{5}{(1 - 3 x)^2} $ is represented as a power series $\displaystyle f(x) =

\sum_{n=0}^\infty c_n x^n $.

Find the first few coefficients in the power series.

$\displaystyle C_0 = $

$\displaystyle C_1 = $

$\displaystyle C_2 = $

$\displaystyle C_3 = $

$\displaystyle C_4 = $

Find the radius of convergence R of the series.

$\displaystyle R = $