Intervallschachtelung/Eulersche Zahl/Fakt

Die Intervalle ${}I_{n}=[a_{n},b_{n}]$ , ${}n\geq 1$ , mit den Grenzen

$a_{n}={\left(1+{\frac {1}{n}}\right)}^{n}{\text{ und }}b_{n}={\left(1+{\frac {1}{n}}\right)}^{n+1}$

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