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Hi, so suppose f(z) is a complex function analytic on {z|1<|z|} (outside the unit circle). Also, we know that limit as z-->infinity of zf(z) = A. Now I need to show that for any circle [tex]C_{R}[/tex] centered at origin with radius R>1 and counterclockwise orientation, that
[tex]\oint f(z)dz = 2\pi iA[/tex]
Any ideas? I'm trying to use Cauchy integral theorem somehow but it's not working.
[tex]\oint f(z)dz = 2\pi iA[/tex]
Any ideas? I'm trying to use Cauchy integral theorem somehow but it's not working.