Find the value of x of the fourier series defined by

[Zaent]

Homework Statement

Homework Equations

The Attempt at a Solution

http://imgur.com/7TRWjBg

I don't really get what it's asking. I don't know how to define a Fourier series when the boundaries for X are between non-multiples of Pi. On top of that, it has one boundary that has 4<x<2Pi. How can it be between 4 and 2 Pi? My attempt at a solution seems like it has to be totally the wrong way to go about it

 

[LCKurtz]

Homework Statement

View attachment 82737

Homework Equations

View attachment 82738

The Attempt at a Solution

http://imgur.com/7TRWjBg

I don't really get what it's asking. I don't know how to define a Fourier series when the boundaries for X are between non-multiples of Pi. On top of that, it has one boundary that has 4<x<2Pi. How can it be between 4 and 2 Pi? My attempt at a solution seems like it has to be totally the wrong way to go about it

Your function is defined between $0$ and $2\pi$, with a couple of jump discontinuities. So you have the given $f(x)$ and its FS $S(x)$. Do you know what the Dirichlet conditions are? Look in your book for that. It will tell you something about when $f(x) = S(x)$ and when it doesn't. This problem does not involve calculating the FS.