(a) Uniqueness, prove that the Laurent expansion of a given analytic function in a given annulus is unique.
(b) Accumulation of singularities, does tan (1/z) have a Laurent series that converges in a region 0 > |z| < R? (Give a reason).
(c) Integrals expand the following function in a Laurent series that converges for |z| >0. |
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