Re: counterexample for bounded, continuous function

"woodland" <woodland_56@xxxxxxxxx> wrote in message
news:8765922.1131136332236.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxxxxx
> hi
>
> Is there any counter example of a function f, that is bounded and
continuous on some domain D, but
> is not uniformly continuous on D.
>

Yes - concentrate on finding a function f defined on an open interval e.g.
(0,1), and make the function wiggle more and more violently (but
continuously) at one end...

Mike.


.

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