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Path: utzoo!linus!philabs!seismo!harpo!eagle!mhuxl!houxm!ihnp4!arizona!torben
From: torben@arizona.UUCP
Newsgroups: net.math
Subject: infinite differentiability
Message-ID: <6784@arizona.UUCP>
Date: Tue, 13-Dec-83 12:17:52 EST
Article-I.D.: arizona.6784
Posted: Tue Dec 13 12:17:52 1983
Date-Received: Thu, 15-Dec-83 01:29:46 EST
Organization: CS Dept, U of Arizona, Tucson
Lines: 3

What is this apart from a restatement of Taylor's Theorem? Of course, your 
assumptions must be modified. For a function f which is just continuously 
differentiable, your result won't hold. You need to have C infinity.