Convergence of infinite series with alternating and regular terms

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Slimsta
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Homework Statement


[PLAIN]http://img204.imageshack.us/img204/946/helph.jpg


Homework Equations





The Attempt at a Solution


I have not idea what to write.. i read the whole chapter twice and don't know where to start :S
 
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Start by thinking about the sum as the integral of a step function.