Date: Apr 21, 2013 8:17 PM
Subject: Alternating series question

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?