Hi, this is the integral and how much I managed to solve

http://img689.imageshack.us/img689/4719/img8366.jpg

So at this point I have two problems:

Firstly finding a limit around zero pole and secondly finding a residue around pole which is inside contour. While I had limits in my high maths course, I still struggle with this one; as for residue, have no idea how to find it and at the moment I don't have any good maths books with myself and even more important - time to learn it, so I'm in a pretty bad situation, any help would more than grateful!