Does $\sum_{n=1}^{\infty}\sin(n\pi)/n^{2}$ in $\mathbb{C}$ converge or diverge?
My guess is that the series does not converge due to the periodicity of trigonometric functions but I can't be sure without figuring it out more formally.
Does $\sum_{n=1}^{\infty}\sin(n\pi)/n^{2}$ in $\mathbb{C}$ converge or diverge?
My guess is that the series does not converge due to the periodicity of trigonometric functions but I can't be sure without figuring it out more formally.