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Published in:
2004 | OriginalPaper | Chapter
Konvergenzkriterien für Reihen
Authors : Prof. Dr. Otto Forster, Rüdiger Wessoly
Published in: Übungsbuch zur Analysis 1
Publisher: Vieweg+Teubner Verlag
Included in: Professional Book Archive
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Man untersuche die folgenden Reihen auf Konvergenz oder Divergenz:$$\sum\limits_{n = 1}^\infty {\frac{{n!}}{{{n^n}}}} \quad \sum\limits_{n = 0}^\infty {\frac{{{n^4}}}{{{3^n}}}} ,\quad \sum\limits_{n = 0}^\infty {\frac{{n + 4}}{{{n^2} - 3n + 1}}} ,\quad \sum\limits_{n = 1}^\infty {\frac{{{{(n + 1)}^{n - 1}}}}{{{{( - n)}^n}}}} .$$