Could someone please provide me a little direction.(adsbygoogle = window.adsbygoogle || []).push({});

I'm trying to show this sequence converges

[tex]x_n=n\left(e^{\frac{2\pi i}{n}}-1\right)[/tex]

I know [tex]\lim_{n\rightarrow\infty}|x_n|=2\pi i[/tex], but I have no idea how to arrive at the solution.

This is not a homework question.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Limit in Complex Field

**Physics Forums | Science Articles, Homework Help, Discussion**