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2. Let f be the branch of z¹/4 such that |z|> 0 and 0 < arg z < 2. Let C denote the semi-circular path z = 2e²0 (0 ≤ 0 ≤
Posted: Thu Jul 07, 2022 2:19 pm
by answerhappygod
- 2 Let F Be The Branch Of Z 4 Such That Z 0 And 0 Arg Z 2 Let C Denote The Semi Circular Path Z 2e 0 0 0 1 (116.13 KiB) Viewed 88 times
2. Let f be the branch of z¹/4 such that |z|> 0 and 0 < arg z < 2. Let C denote the semi-circular path z = 2e²0 (0 ≤ 0 ≤ π). (a) Show that the right hand limits at 0 = 0 of the real and imaginary parts of f[z(0)]z'(0) exist and calculate their values. (b) Calculate [ f(z) dz. (c) Why did we show that the right hand limits at 0 = 0 of the real and imaginary parts of ƒ[z(0)]z'(0) exist before calculating [ƒ(z) dz?