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AoPS Wiki talk:Problem of the Day/August 3, 2011

Revision as of 04:37, 18 August 2011 by Neutrinonerd3333 (talk | contribs)

Problem

AoPSWiki:Problem of the Day/August 3, 2011

Solution

Since $\sum_{1 \to \infty}\dfrac{5^n+n}{n} = \sum_{1 \to \infty}\left(1+\frac{5^n}{n}\right)$, the sum diverges, since the sum is always greater than the index, due to constant 1.

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