Falls $$\forall\ \epsilon\ >0,\ \exists\ N\ \in\ N^{\ast}:\ \forall\ n\ \ge m>N,\ \left|\sum_{k=m}^na_k\right|

$$\sum_{k\ge1}^{ }a_k$$ kovergiert

$$\sum_{k\ge1}^{ }a_k$$ konvergiert absolut

Sei $$a_n$$ monoton fallend mit $$a_n\ \ge\ 0$$ und $$\lim a_n=0$$ . Welche Aussagen gelten?

$$S=\sum_{k\ge1}^{ }\left(-1\right)^{\left(k+1\right)}a_k$$ konvergiert

$$\sum_{n\ge1}^{ }a_n$$ konvergiert

Es gibt eine Umordnung $$S$$ von $$S$$ , so dass $$S$$ gegen $$\frac{1}{2}$$ konvergiert

Analysis I - Übungsstunde 4

Authored by Anja Sjöström

Mathematics

University

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MULTIPLE CHOICE QUESTION

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konvergiert

konvergiert absolut

divergiert

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konvergiert

divergiert

MULTIPLE CHOICE QUESTION

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konvergiert

divergiert

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Wahr

Falsch

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Wahr

Falsch

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