(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Please give examples

-functions continuous nowhere, continuous at one point

– functions differentiable everywhere but with discontinuous derivative

– Examples of uniformly continuous functions, functions not uniformly continuous

– Combinations of the above. For example, find a function, f : [0, 1] ! [0, 1], having the

intermediate-value property but continuous at only one point

thank you very much!

2. Relevant equations

Rolle’s theorem

Mean-value theorem

Cauchy mean-value theorem

3. The attempt at a solution

I have trouble to start it . Please help.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Real analysis questions.

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