For each of the following functions, do the following: Find all its singularities in C For each singularity, determine whether it is a pole, a removable singularity, or an essential singularity. Compute the residue of the function at each singularity. f(2) = e2 f(z): 1-z2

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Complex Analysis

For each of the following functions, do the following:
Find all its singularities in C
For each singularity, determine whether it is a pole, a removable singularity, or an
essential singularity.
Compute the residue of the function at each singularity.
f(2) =
e2
f(z):
1-z2
Transcribed Image Text:For each of the following functions, do the following: Find all its singularities in C For each singularity, determine whether it is a pole, a removable singularity, or an essential singularity. Compute the residue of the function at each singularity. f(2) = e2 f(z): 1-z2
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