After I read the definition of piecewise continuous function, it seems like either function is piecewise continuous or continuous. Can a function be neither of these two?
2026-04-06 17:27:15.1775496435
Neither piecewise continuous function nor continuous function examples
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What about a function like $f(x)=\begin{cases} 1, x\in\mathbb Q\\ 0, x\not\in\mathbb Q\end{cases}$?