Wednesday, December 19, 2018

complex analysis - Improper integration of sin(z)/z

I need to calculate this sin(z)zdz using the residue of sin(z)z.


Then I write sin(z)zdz = lim where CR is the the half circunference of radius R>0 over the plane.


Then I need to show that \lim_{R\to\infty}|\int_{CR}\frac{e^{iz}}{z}dz|=0


Can someone help me?

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection f \colon A \rightarrow B and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...