The function
f(x) = 3 x \arctan (6 x)
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.

c_0 =

c_1 =

c_2 =

c_3 =

c_4 =

Find the first few coefficients in the power series.

Find the radius of convergence

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