Determine whether the series converges or diverges.
$$ \sum _{n=1}^{\infty }\:\left(\frac{19}{n!}\right) $$
I know that this question a lot easier if I use ratio test but I have not learned ratio test yet. The only option I have is divergence, comparison, limit comparison, and integral test. How can I prove that this series converges by using the limited tests.
Thanks in advance.