Re: Attempt epsilon-delta

From: Chris Wagner (clwagner_at_vulcan.wagner.nul)
Date: 10/01/04 

Date: Fri, 1 Oct 2004 12:27:15 +0000 (UTC)

In article <BLOCKSPAMfishfry-18157F.17255129092004@netnews.comcast.net>,
        fishfry <BLOCKSPAMfishfry@your-mailbox.com> writes:
> In article <cjeohn$3cvr$1@murrow.it.wsu.edu>,
>
> Well your last remark is the key to your difficulty. Continuity is often
> defined (in freshman calculus, at least) as lim_{x->a} f(x) = f(a). In
> this case, however, this is the thing to be proved. Therefore you must
> start from a DIFFERENT definition of continuity, which you have not
> provided.
>
> So the outline of your proof must look something like this:
>
> Definition: f:R->R is continuous (at a point a) if <such and so>
>
> Given: f:R->R is continuous at a point a.
>
> Conclusion: lim_{x->a} f(x) = f(a)
>
> Make sense?

Yes it does. Thank-you. What I need to learn is the Cauchy-Weierstrass
epsilon delta method.

Chris Wagner