Here's a painful mix of real analysis and caluclus ;D
Does the following series converge or diverge?
http://data.artofproblemsolving.com/images/latex/1/3/8/13826d69351e71414333a1b1ad64f591c4a9eb2a.gif
As taken from the Art of Problem Solving.

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Goddarn you.

tha's ugly..

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