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## Main Question or Discussion Point

My question is maybe elementary but I don't know the answer. I have a function f absolutely continuous in (a,c) and in (c,b), f continuous in c. Is f absolutely continuous in (a,b)?

I think the answer is negative but I can't find a counterexample. I really apreciatte your help.

I think the answer is negative but I can't find a counterexample. I really apreciatte your help.