Qn 4. (i) When is a function f : D C said to be holomorphic: on...

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Qn 4. (i) When is a function f : D C said to be holomorphic: on its domain D? at a point c E D? [3, 3] (ii) State with reasons whether the function f(z) = 1+ iz is holomorphic in C. [6] (iii) Show that the function f(2) 1 is not holomorphic at z = -1. (6) 1+z Qn 4. (i) When is a function f : D C said to be holomorphic: on its domain D? at a point c E D? [3, 3] (ii) State with reasons whether the function f(z) = 1+ iz is holomorphic in C. [6] (iii) Show that the function f(2) 1 is not holomorphic at z = -1. (6) 1+z