Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Repetitorium/8/Bounded and Cauchy/Studentenfrage

Is it correct to understand that "For every subset of ${}\mathbb {R}$, which is bounded above, has a least upper bound. Every bounded monotonic sequence in ${}\mathbb {R}$ is convergent. Therefore, we can say every Cauchy sequence in ${}\mathbb {R}$ is convergent. "?

Zur Antwort, Alternative Antwort erstellen