How can one show that the following trigonometric sequence converges uniformly and absolute on ℝ?
$\sum_{n=2}^\infty \frac{e^{inx}}{n^2-n}$
According to a Def., it converges if $\sum_{k=-\infty}^\infty |c_k|$ is convergent from the form $\sum_{n=-\infty}^\infty c_ne^{inx}$ But what is $c_n$ in this situation and how do one find it?