i only need the f(n) for both pleaese Test the series below for convergence using the Root Test. [ sum_{n=1}^{infty}left(frac{5 n}{10 n+1} ight)^{n} ] The

i only need the f(n) for both pleaese Test the series below for convergence using the Root Test. \[ \sum_{n=1}^{\infty}\left(\frac{5 n}{10 n+1}\right)^{n} \] The limit of the root test simplifies to \( \lim _{n \rightarrow \infty}|f(n)| \ 2 answers