Two power series are $\sum_{n=0}^{\infty} a_n x^n$ (radius $R_a = 3$) and $\sum_{n=0}^{\infty} b_n x^n$ (radius $R_b = 2$). If we form their Hadamard product (termwise product) $\sum_{n=0}^{\infty} (a_n b_n) x^n$, which statement about the radius of convergence $R_c$ is correct?