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Path: utzoo!watmath!wjafyfe
From: wjafyfe@watmath.UUCP (Andy Fyfe)
Newsgroups: net.math
Subject: Re: Any number as infinite series
Message-ID: <11209@watmath.UUCP>
Date: Wed, 30-Jan-85 18:09:51 EST
Article-I.D.: watmath.11209
Posted: Wed Jan 30 18:09:51 1985
Date-Received: Thu, 31-Jan-85 00:35:41 EST
References: <17957@lanl.UUCP> <28200048@uiucdcs.UUCP> <1088@aecom.UUCP> <385@hou2g.UUCP>
Reply-To: wjafyfe@watmath.UUCP (Andy Fyfe)
Organization: U of Waterloo, Ontario
Lines: 10
Summary: 

All you need is a series that converges, but is not absolutely
convergent, say, for example,
	1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 ......
Then, by re-arranging the terms, you can make this limit equal to
anything you want.  The basic algorithm is to take positive terms
until you exceed your desired limit, then negative ones until you're
below it, etc.

--andy fyfe		...!{decvax, allegra, ihnp4, et. al}!watmath!wjafyfe
			wjafyfe@waterloo.csnet