# Complex limit.

1. Mar 13, 2013

### SherlockOhms

See attached image.
Can't seem to get alpha to compute this. Had this in a test and it stumped me. Could someone explain how to find the limit? Thanks in advance guys.

2. Mar 13, 2013

### Snark1994

Just divide top and bottom by $n$. Then the limit of the numerator is 1, while the limit of the denominator is $2i$ (the $\frac{(-1)^n}{n}$ has magnitude which tends to $0$).

3. Mar 13, 2013

### SherlockOhms

Cool, thanks man. I was under impression that I had to separate the function up into it's real and imaginary parts.