Find the domain of convergence of :
$\displaystyle\sum_{n=1}^{\infty} \frac{e^{in}}{(z+1)^n} +\sum_{n=0}^{\infty} \frac{(z+1)^n}{e^{\frac{1}{2}+n}}\ \ \ \ (z\in\mathbb{C})$
I've found that it diverges for any complex number $z$, is this correct ?
via Recent Questions - Mathematics - Stack Exchange http://math.stackexchange.com/questions/294417/complex-series-convergence
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