$[-/4$ Points$]$

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SCALCET$9$M $11\mathrm{.}6\mathrm{.}020.$

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

${\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^n\frac{2^{n}n!}{5*8*11*cdots*(3n2)}$

Identify $|a_n|.$

$\frac{2^{n}n!}{5*8*11\text{c}\text{d}\text{o}\text{t}\text{s}**(3n2)}$

$\frac{2^{n}n!}{(3n2)!}$

$\frac{(2^{n}n)!}{5*8*11\text{c}\text{d}\text{o}\text{t}\text{s}\text{c}\text{d}\text{o}\text{t}\text{s}*(3n2)}$

$\frac{2^n}{(3n2)!}$

$\frac{2^{n}n}{(3n2)!}$

Evaluate the following limit$.$

$\underset{n-}{lim}|\frac{a_{n1}}{a_n}|$

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Since $\underset{n}{lim}|\frac{a_{n1}}{a_n}|,1,q,$

$**$Slelect$---$