Question $5$

Find the test value $L=\underset{n}{lim}|\frac{a_{n+1}}{a_n}|$ that you could use to apply the ratio test to the following series:

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{n^2}{n!}$

$L=\frac{1}{2}$

The limit to compute $L$ does not exist.

$L=0$

$L=1$

$L=$