Mathematik-Online problems: Problem 125: Criterion for Limits

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	Mathematik-Online problems:
	Problem 125: Criterion for Limits

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

a): Let and be two real sequences with positive elements. Proof: If the sequence of the quotients has a positive limit, the series $\sum a_n$ and $\sum b_n$ have the same behaviour with respect to convergence.
b): Is the series ${\displaystyle{\sum_{n=0}^\infty \frac{n^5+3n+2}{n^6+17}}}$ convergent?

(Authors: Apprich/Höfert)

Solution:

automatisch erstellt am 14. 10. 2004