1. If f(z) = 1/ [z(1 – 2z)] and | z | < 1/2, then the coefficient of z2 in the Laurent expansion for f is 4. 2. If f(z) = 1/ [z(1 – 2z)] and | z | > 1/2, then the coefficient of 1/z2 in the Laurent expansion for f is 4. 3. Function f(z) = z3cos z has a zero at z = 0 of order 3. 4. Function f(z) = z3sin z has a zero at z = 0 of order 3.
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