Question list

O$)$ Question $1$

Question $2$

O$.$ Question $3$

Question $4$

Question $5$

Question $6$

Question $7$

Question $8$

Use any method to determine if the series converges or diverges. Give reasons for your answer.

${\displaystyle \underset{n=1}{\overset{}{}}}(9e{)}^{-n}{n}^4$

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

$($Type an exact answer.$)$

A$.$ The series diverges because the limit used in the Ratio Test is

B$.$ The series converges because the limit used in the Ratio Test is

C$.$ The series diverges because the limit used in the nth$-$Term Test is

D$.$ The series converges because the limit used in the nth$-$Term Test is $.$