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

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{8*16*24*cdots*(8n)}{n!}$

Identify $a_n.$

$\frac{8*16*24*cdots*(8n)}{n}$

$\frac{(8n)!}{n!}$

$\frac{8*16*24*cdots*(8n)}{n!}$

$\frac{8n!}{n!}$

$\frac{(8n)!}{n}$

Evaluate the following $limit.$

$\underset{n}{lim}|\frac{a_{n+1}}{a_n}|$

Since