Ononot — Let f(x) = \sum{n=0}^{\infty} cn x^n be a power series with

Power Serieshard

0:00.0

Let $f(x) = \sum_{n=0}^{\infty} c_n x^n$ be a power series with radius of convergence $R=2$ . Let $S = \sum_{n=0}^{\infty} c_n x^{3n}$ . What is the radius of convergence of $S$ ?