Kurs:Mathematik für Anwender (Osnabrück 2019-2020)/Teil I/Repetitorium/9/Proof Nullkonvergenz der Summanden/Studentenfrage/Antwort

First of all I am sorry for the confusion. The proof of the Lemma used to reference Lemma 9.3 when in fact it refers to Lemma 9.4.

Now the trick is just to set ${}n=m$ in the Cauchy-criterion to get the definition of convergence to ${}0$. This way we see that convergence of the sequence ${}a_{k}$ is directly implied.

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