Im Having some problems by calculating some Complex Form of Fourier Series.
I did it for $x$ and for $x^2$ with real numbers but now I´m trying to calculate de Fourier Series of $f(x)=x$ in $[- \pi , \pi ]$ but I'm stuck with operations with complex numbers.
Maybe you could help me.
I know the answer should be:
$ \sum_{n=1}^{\infty} {(-1)^n i e^{inx}}/{n} + \sum_{n=1}^{-\infty} {(-1)^n i e^{inx}}/{n} $
Thanks in advance!