This limit is giving me a little trouble.
I tried factoring but I wasn't able to go anywhere from there.
Anyone have any suggestions?
Suppose it were . How would you show that goes to infinity?
For z close to i, will be close to -2 and will be close to 2i so
will be close to . You want to show that, given any M, there exist r such that if , then . That should be pretty straight forward.