Zeroes of functions
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Locate all zeros and singularities for each of the attached functions.
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Answer b, c, d, and e.
(b) Zero at z = n*pi, where n is any integer. Singularity at z = 0 (isolated)
f(z) = .
(c) Zero at z = 0, Singularity at z = n*pi, where n is any integer (isolated)
f(z) = .
(d) No zeros. Singularity at z = i, -i (isolated)
f(z) = .
(e) Zero at z = 0, Singularity at z = 0 (isolated)
f(z) =
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This shows how to locate all zeros and singularities for functions. The expert locates all zeros and singularities.
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Some of the answers in the attachment are not correct. Here is my solutions.
(b) We know and , then we have
Thus is a pole and it is a removable singularity. The order is and the value of the function at this point is ...
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