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RE: Epsilon-Delta proofs

• To: mathgroup at smc.vnet.net
• Subject: [mg39560] RE: [mg39540] Epsilon-Delta proofs
• From: "David Park" <djmp at earthlink.net>
• Date: Sun, 23 Feb 2003 05:00:11 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Will,

What about something like this...

Needs["Algebra`InequalitySolve`"]

InequalitySolve[Abs[4 - f[2 + del]] < eps \[And] del != 0, del]
% /. eps -> 0.001

giving

0 < del < eps || -eps < del < 0
0 < del < 0.001 || -0.001 < del < 0

Or would you prefer a graphical "proof"?

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/ 



From: Will Self [mailto:wself at msubillings.edu]
To: mathgroup at smc.vnet.net

It occurred to me that it might be interesting to write a Mathematica
program that would do epsilon-delta proofs for limits, e.g., prove
that the limit of (x^2-4)/(x-2), as x approaches 2, is 4.  Perhaps
restricting the expressions involved to rational functions.  Has
anybody done something like this?

email replies greatly appreciated
Will