Date: Apr 23, 2013 4:02 AM Author: RGVickson@shaw.ca Subject: Re: Alternating series question On Sunday, April 21, 2013 5:17:53 PM UTC-7, Ray Vickson wrote:

> Suppose we have an infinite series of the form sum{(-1)^n * a_n} where all a_n > 0 and limit a_n = 0 as n --> infinity. However, we do NOT assume the a_n are monotone decreasing in n; we just assume they --> 0. Can we still say that the series is convergent?

Thanks to Mike Terry for a definitive answer.