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MATH 5321 Exam II Make-Up 1 April 2009 Answer the problems on separate paper. You do not need to rewrite the problem statements on your answer sheets. Work carefully. Do your own work. Show all relevant supporting steps! 1. X 2. X 3. (20 pts) Find the number of zeros of a.) b.) c.) 4. (20 pts) p ( z ) = z 6 − 6 z 4 − 10 z − 2 in B(0,1) in B(0,2) in B(0,3) Let G be a bounded region in ^ . Let { f n } ⊂ C (G , ^ ) ∩ A (G ) and let f ∈C (G , ^ ) ∩ A (G ) . Suppose that f n → f uniformly on ∂G . Show that f n → f in C (G , ^ ) .