## Question

###### Question 1 (a) (5 marks) Find the Laurent series expansion off(z)at z = 1. On which domain does the series converge? (b) 5 marks) Without writing down the expansion, find the radius of convergence for the Taylor series of f(z) = Log(z) + Log(iz) at z = -l+i.

Question 1 (a) (5 marks) Find the Laurent series expansion of f(z) at z = 1. On which domain does the series converge? (b) 5 marks) Without writing down the expansion, find the radius of convergence for the Taylor series of f(z) = Log(z) + Log(iz) at z = -l+i.

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