Infinite sequences and seires help

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.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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