Suppose u is not an integer. Prove that 1 by integrating 2 (u + n) (sin...

 

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Suppose u is not an integer. Prove that 1 by integrating 2 (u + n) (sin u)2 N1- f(z) = Cot Z (u + z) over the circle |z| = RN = N + 1/2 (N integral, N |u|), adding the residues of f inside the circle, and letting N tend to infinity. Suppose u is not an integer. Prove that 1 by integrating 2 (u + n) (sin u)2 N1- f(z) = Cot Z (u + z) over the circle |z| = RN = N + 1/2 (N integral, N |u|), adding the residues of f inside the circle, and letting N tend to infinity.