Taylor Series Representation and Residue
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Write f(z):=16z/(z^2 +1)^3
as f(z)= h(z)/(z - i)^3
with an explicit expression for the function h(z).
Explain why h(z) has a Taylor series representation about i and use this representation to find explicitly the principal part off at i. Hence, find the numerical value of the residue of f at i.
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Solution Summary
Taylor Series Representations and residues are investigated. The solution is detailed and well presented.
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