# Talk:Fourier Series/x over 0 to 2, x-2 over 2 to 4

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Does it really say $x \cos \frac {\left({2 n - 1}\right) \pi x} 4$? If so, that's not a Fourier series at all... — Lord_Farin (talk) 15:54, 7 March 2018 (EST)

- It sure does. (except I noticed it's all $r$ not $n$ throughout it.) You can understand why I'm puzzled. And I'm also fairly sure there is confusion during the course of the analysis whether the function over $\left[{0 \,.\,.\, 2}\right]$ should be $1$ or $x$. This book is showing itself more and more to be horribly careless. --prime mover (talk) 15:57, 7 March 2018 (EST)

- Makes me wonder how the analysis plays out if the $x$ is divided out to $f$ instead. Might well be the only way to salvage the analysis. — Lord_Farin (talk) 16:39, 7 March 2018 (EST)

- I have little patience with the fiddly detail of Fourier series of arbitrary piecewise functions like this, I'm afraid, so I can only really bother to work through it all when I'm in the right mood. That's unfortunately not now. --prime mover (talk) 16:44, 7 March 2018 (EST)