Nowhere continuous function

From: Artur (artur_at_opendf.com.br)
Date: 10/02/04 

Date: 2 Oct 2004 16:53:47 -0700

Hello

I have a question: Can there exist a function f:I->R, I an open
interval of R, which has a limit at every point of I but is nowhere
continuous?
I think there's no function like that, but so far I couldn't prove it
nor give an example of such function.
Thank you.
Artur

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