Understanding the Role of n in the Denominator of Fourier Series

robertjford80
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Homework Statement



Screenshot2012-06-15at30300AM.png





The Attempt at a Solution



I don't see why the n is in the denominator
 
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reverse chain rule. What's the derivative of \frac{\sin(nx)}{n}?

If that doesn't make sense, then...

you could use u-substitution to avoid going backwards.

If you don't know u-substitution, that can be part of the problem.
 
thanks, got it
 

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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