From: utzoo!decvax!decwrl!turtleva!ken Newsgroups: net.math Title: Re: 1=/= .999... Article-I.D.: turtleva.139 Posted: Tue Feb 1 21:49:47 1983 Received: Thu Feb 3 00:54:57 1983 References: rocheste.522 It was asserted that the following series converged to 1/4. Hogwash! S = 1/2 - 1/2 + 1/2 - 1/2 + ... It is a divergent series. Even though it is an alternating series, the terms all have the same magnitude. Group adjacent terms pairwise and they cancel out. It is like a square wave which DOES NOT CONVERGE!