Let k₁,..., km be m (positive) natural numbers. Let D be an open disk and let z₁, ..., Zm be m distinct points in D. Suppose that g, h: DC are holomorphic functions that are nowhere 0 and consider the function f D\ {21,..., Zm} → C defined by : g(z) (z − 2₁)k¹ ... (z — Zm)km 1. What is the type of singularity at ze? Here is any index between 1 and m. 2. What is the residue at ze? Justify your answer carefully. f(z) =h(z) +

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