Root Test

For the answer choices below, consider the following series:

${\displaystyle \underset{n=1}{\overset{}{}}}{a}_n,$ where $a_n=\frac{(lnn{)}^{2n}}{(5n{)}^n}$

Test the above series for corwergence using the Root Test. The results of the Root Test are

$.$

If the series converges, what is its sum?

Enfer $"$NA$"$ if a finfle sum cannot be found. Otherwse, enter an exact value In your explanabon, explan why the Root Test is a good choice and justly your conclusions regarding corrergence as well as ary sleps taken

Sum $=$