2. For each of the functions f(z) below, find all annuli, centred at 0 E C,...
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2. For each of the functions f(z) below, find all annuli, centred at 0 E C, on which f is analytic, and determine the Laurent expansion of f on each of these annuli 1 (a) (4 points) f(2) z(z2+1) e2 (b) (4 points) f(2) = 2-2 2. For each of the functions f(z) below, find all annuli, centred at 0 E C, on which f is analytic, and determine the Laurent expansion of f on each of these annuli 1 (a) (4 points) f(2) z(z2+1) e2 (b) (4 points) f(2) = 2-2
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