What is

I'm getting 0 but I think i'm going wrong somewhere. Can anyone give me an idea?

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- Apr 29th 2010, 09:25 AMnahdumaconfusing limit
What is

I'm getting 0 but I think i'm going wrong somewhere. Can anyone give me an idea? - Apr 29th 2010, 10:04 AMFailure
- Apr 29th 2010, 10:51 AMnahdumaAnswer please
Thanks. Now I'm getting 2 as the answer.

Can anyone confirm that? - Apr 29th 2010, 10:57 AMFailure
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. - Apr 29th 2010, 01:12 PMOpalg
Another way of looking at this problem is that it consists of a Riemann sum converging to the integral .