I'm getting 0 but I think i'm going wrong somewhere. Can anyone give me an idea?
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Originally Posted by nahduma What is
I'm getting 0 but I think i'm going wrong somewhere. Can anyone give me an idea? What about this: is the imaginary part of . Thus, if you make a detour through complex numbers, you can explicitly evaluate , because you can then apply the formula for a geometric series.
Last edited by Failure; April 29th 2010 at 10:51 AM.
Thanks. Now I'm getting 2 as the answer.
Can anyone confirm that?
Originally Posted by nahduma Thanks. Now I'm getting zero (which I think is the answer).
Can someone please confirm that? 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.
Another way of looking at this problem is that it consists of a Riemann sum converging to the integral .
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