Evaluate √(1/2)dz, where C is the circle || = 2 taken with clockwise orientation. Hint: C: z(t) = 2 cost -i2 sint for 0≤t≤2. Evaluate 0) (Ans: -2πi) (1/2)dz, where C is the circle |2| = 2 taken with clockwise orientation. (Ans: dz _If IR = $m = $CR 2² (2 + 1); where CR is the circle |2| = R (R> 1), show that (a) IR R1), and HENCE that R(R-1)' (b) lim IR = 0. R→∞0 If IR = Son³ 2-5 e² (23+4) that lim IR = 0. dz, where CR is the semicircle below, centre 0, radius R > 2. Show CR Ri ° -Ri R

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