Find the three Laurent series of f(2) = (z+1)(2 - 6) centered at 0, defined on...

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Find the three Laurent series of f(2) = (z+1)(2 - 6)" centered at 0, defined on the three regions |2| < 1, 1 < |z| < 6, and 6 < |2l, respectively. (Hint: Use a partial fraction decomposition.) Find the three Laurent series of f(2) = (z+1)(2 - 6)" centered at 0, defined on the three regions |2| < 1, 1 < |z| < 6, and 6 < |2l, respectively. (Hint: Use a partial fraction decomposition.)