Solved it Myself to Self-Help Problem Solving

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figured it out myself, thanks
 
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Normally, "the" function is the unit step function- u(x)= the largest integer less than or equal to x. As for finding its Fourier series, it is not periodic. I assume you are restricting it to -\pi to \pi. Now, just use the standard integral formulas for the Fourier coefficients. Because the step function is constant over each integer interval, you will just be integrating sine and cosine over 8 intervals.
 

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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