Find the radius of convergence of the series \(\large \( \sum_{n=1}^\infty 2^nn^2(x-1)^2\)n

Find the radius of convergence of the series \(\large \( \sum_{n=1}^\infty 2^nn^2(x-1)^2\)n

—>> \(\large \(R=\frac{1}{2})\)

\(\large \(R=\frac{1}{3})\)

\(\large \(R=\frac{3}{5})\)

\(\large \(R=\frac{1}{7})\)