Absolute Convergence
A series converges absolutely if the series converges.
Theorem: Absolutely convergent series are convergent.
Proof: Suppose is absolutely convergent. Then, is convergent and it follows that converges as well. Since, the series converges by the comparison test. Therefore, the series converges as the difference of two convergent series .
Read more about this topic: Alternating Series
Famous quotes containing the word absolute:
“There is no absolute point of view from which real and ideal can be finally separated and labelled.”
—T.S. (Thomas Stearns)