A test for [[Absolute Convergence]].
For some given [[Sequence]] $a_n$:
$\huge \lim_{n\to\infty} \left| \frac{a_{n+1}}{a_{n}} \right| = L$
The value of $L$ can tell us information about the [[Series|Infinite Series]] created from $a_n$.
| $L<1$r | The [[Series]] is [[Absolute Convergence\|Absolutely Convergent]] |
| ------------------- | ----------------------------------------------------------------- |
| $L>1
lt;br>$L=\infty$ | The [[Series]] [[Divergent Series\|Diverges]] |
| $L=1$ | This test is inconclusive |