Is the function given by $\sum\limits_{n=1}^{\infty} (-1)^{n} \frac{\cos{nx}}{n^{3/2}}$ continuous for $x \in [-\pi, \pi]$.
Is the function given by $\sum\limits_{n=1}^{\infty} (-1)^{n} \frac{\cos{nx}}{n^{3/2}}$ continuous for $x \in [-\pi, \pi]$.