Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.1 6/24/83; site cdcvax.UUCP
Path: utzoo!linus!decvax!cwruecmp!cdcvax!rab
From: rab@cdcvax.UUCP (Roger Bielefeld)
Newsgroups: net.math
Subject: Re: 1 = 2 'proof'
Message-ID: <112@cdcvax.UUCP>
Date: Mon, 12-Sep-83 23:52:44 EDT
Article-I.D.: cdcvax.112
Posted: Mon Sep 12 23:52:44 1983
Date-Received: Tue, 13-Sep-83 05:34:34 EDT
References: <440@nmtvax.UUCP>
Organization: Community Dialysis Center, Cleveland Ohio
Lines: 6

Actually, in a nutshell, differentiability implies continuity
but continuity does not imply differentiability.  An example
of a function that is continuous but not  differentiable is
	f(x) = |x| on any open interval containing zero.

Of course, we're talking about real functions of real variables here.