I have two questions:
A. I know the taylor series for $\arctan(x)$ and for $e^x$. How do I find the series for $\arctan(x)\cdot e^x$ ?
B. Say I want to find the series for $\arctan(g(x))$, do I just subtitue $x$ with $g(x)$, Or do I have to start the process of finding the series from the beginning?
Thanks!