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July 13, 2021 10:36 am 30 pts
z -z+1 Z-1 53. Evaluate dx, where C is the circle (A) when I2 = 1, 44tdz = 2mi Z 1 when z = 2-Z+ 1 z-1 Yon .'. =O (B -Z+ldz = 0 when z = 1, Jo z-1 4dz = 0 (C) z-2+ dz = 2ri (D) when zl z-1
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• Alka gupta
here ans must be A and B if circle |z|=1/2 then z=1 lies out side the circle so function is analytic inside C so by Cauchy integral theorem line integral is zero if circle |z|=1 t...