Use the Root Test to determine whether the series is convergent or divergent.

${\displaystyle \underset{n=2}{\overset{}{}}}9(1\frac{1}{n}{)}^{n^2}$

Identify $a_n.$

Evaluate the following limit$.$

$\underset{n}{lim}\sqrt[n]{|a_n|}$

Since $\underset{n}{lim}\sqrt[0]{|a_n|}|2vv1|,$

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