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Evaluate ∫c (z/(z - 2))dz where c is a circle |z| = 1. |
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Answer» Let f(z) = z/(z - 2) z = 2 lies outside c. ∴ f(z) is analytic inside and on c . f'(z) is continuous inside c Hence by Cauchy’s theorem R c f(z)dz = 0 |
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