Absolute Convergence
Absolutely Convergent

Describes a series that converges when all terms are replaced by their absolute values. To see if a series converges absolutely, replace any subtraction in the series with addition. If the new series converges, then the original series converges absolutely.

Note: Any series that converges absolutely is itself convergent.

Definition:	A series is absolutely convergent if the series converges.
Example:	Determine if    is absolutely convergent.
Solution:	To find out, consider the series   .
	This is an infinite geometric series with ratio , so it converges to or 2. As a result, we know that converges absolutely.