# Math Help - Is f continuous

1. ## Is f continuous

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

2. Originally Posted by Chandru1
Is the function given by $\sum\limits_{n=1}^{\infty} (-1)^{n} \frac{\cos{nx}}{n^{3/2}}$ continuous for $x \in [-\pi, \pi]$.
Since the series converges even absolutely for all x, this series defines a function that's even derivable everywhere.

Tonio