I need to show that the triconometric series $\displaystyle \sum_{n=0}^{\infty} 3^{-n}sin(nx)$ converges uniformt on R. That the sumfunction f is an odd, 2pi-periodic continious function, also that the sumfunction is given by $\displaystyle f(x)= \frac{3sin(x)}{10-6cos(x)}$ by the use of eulers formula $\displaystyle e^{ix}=cosx + isinx$