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SCALCET$911\mathrm{.}8\mathrm{.}013.$MI$.$

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

${\displaystyle \underset{n=3}{\overset{}{}}}\frac{x^{n+2}}{3n!}$

$R=$

Find the interval, I, of convergence of the series. $($Enter your answer using interval notation.$)$

$I=$

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