Determine if the series converges or diverges. Use any method, and give a reason for your answer.

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{(lnn{)}^2}{n^6}$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.$ The series diverges because the limit used in the nth$-$Term Test is $($Type an exact answer.$)$

B$.$ Since $\underset{n}{lim}\frac{a_n}{b_n}=0,$ where $a_n=\frac{(lnn{)}^2}{n^6}$ and $b_n=\frac{1}{n^5},$ both series have positive terms, and the ser the Limit Comparison Test.

C$.$ Since $\underset{n}{lim}\frac{a_n}{b_n}=,$ where $a_n=\frac{(lnn{)}^2}{n^6}$ and $b_n=\frac{1}{n^5},$ both series have positive terms, and the se Limit Comparison Test.