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 = limRIm(RReizzdz+CReizzdz)=2πiRes(eizz,0) where CR is the the half circunference of radius R>0 over the plane.


Then I need to show that limR|CReizzdz|=0


Can someone help me?

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...