$[-/2\mathrm{.}22$ Points$]$

Find the radius of convergence, $R,$ of the series.

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{(-1{)}^n{x}^n}{\sqrt[9]{n}}$

$R=$

Find the interval, I, of convergence of the series. $($Enter

$I=$

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$8.$ Points