
Re: Alternating series question
Posted:
Apr 21, 2013 8:31 PM


On 21/04/2013 9:17 PM, 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? >
Yes, because the a_n must be bounded.

