Limit in Complex Field

  • Thread starter BSCowboy
  • Start date
  • #1
31
0

Main Question or Discussion Point

Could someone please provide me a little direction.
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.
 

Answers and Replies

  • #2
nicksauce
Science Advisor
Homework Helper
1,272
5
The obvious thing to do would be to expand the exponential term as a power series.
 
Top