Let D₁ be the domain 1 < | < 3, and let D₂ be the domain |2|3. Consider the function f(z) = 2z+1 (z + 3) (2² + 1) (a) Find the partial fraction decomposition of f. (b) Find the Laurent series expansion of f(z) in the domain D₂ in powers of z. (c) Find the Laurent series expansion of f(z) in the domain D₁ in powers of z.

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