## Calculus 8th Edition

$\lim\limits_{n \to \infty}|\dfrac{a_{n+1}}{a_{n}}|=\lim\limits_{n \to \infty}|\dfrac{\frac{(n+1)^{100}100^{n+1}}{(n+1)!}}{\frac{n^{100}100^{n}}{(n)!}}|$ $=\lim\limits_{n \to \infty}(\frac{n+1}{n})^{100}\frac{100}{n+1}$ $=0 \lt 1$ The series is absolutely convergent.