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Mathematik-Online problems:

Problem 75: Limits of Sequences


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

#./aufgabe75_en.tex#Find the limits of the sequences:

a) $ a_n={\displaystyle{\frac{1}{1+c^n}}}\,, \quad c>0$  b) $ a_n={\displaystyle{\left(\frac{n+3}{2n-1}\right)^{\!n}}}$
c) $ a_n={\displaystyle{\frac{n^2}{2^n}}}$  d) $ a_n={\displaystyle{\sum_{k=0}^n \frac{(-1)^k}{2^{2k}}}}$
e) $ a_n={\displaystyle{\frac{n!}{n^n}}}$  f) $ a_n={\displaystyle{\left(1-\frac{1}{4}\right)\cdot
\left(1-\frac{1}{9}\right)\cdots \left(1-\frac{1}{(n+1)^2}\right)}}$

(Authors: Kimmerle/Roggenkamp/Höllig/Apprich/Höfert)

see also:


[Solutions]

  automatisch erstellt am 18.  1. 2017