What is
I'm getting 0 but I think i'm going wrong somewhere. Can anyone give me an idea?
No, I'm sorry but I get the answer 2. Quite possibly I am mistaken, therefore let me give you some of the my steps:
where I have used Landau's little-o. Now this last expression seems to have the limit 2i, for , and the imaginary part of this would be 2.
P.S: I have confirmed that a numeric approximation quite rapidly converges to this solution.