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Mathematik-Online problems:

Problem 92: Construction of Sequences for given Properties

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
Find in each case a sequence $ (a_n)$ with the given properties:

a) $ (a_n)$ is convergent, but not monotone.
b) $ (a_n)$ is divergent, but not monotone.
c) $ (a_n)$ is bounded and divergent, but contains a strict monotone subsequence.
d) $ (a_n)$ contains infinite accumulation points.

(Authors: Apprich/Höfert)
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  automatisch erstellt am 12. 12. 2007