(a) Prove that there does not exist any function F(2) in any domain D C C...

 

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(a) Prove that there does not exist any function F(2) in any domain D C C such that F'(2) = |=|2 for all z € D. (b) Let I' be the contour as shown in the figure below. Compute 2: -:+1 dz. JE- 1)(2 + 1) (a) Prove that there does not exist any function F(2) in any domain D C C such that F'(2) = |=|2 for all z € D. (b) Let I' be the contour as shown in the figure below. Compute 2: -:+1 dz. JE- 1)(2 + 1)