Question
Find the residue of f ( z) = zcosz/(z – π)3at z = π.
Answer :
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Skip in 10
To find the residue of the function \[ f(z) = \frac{z \cos z}{(z - \pi)^3} \] at \( z = \pi \), we recognize that \( z = \pi \) is a pole of order 3 for the function. The residue is found by calculating the coefficient of the \( \frac{1}{z - \pi} \) term in the Laurent series expansion of \( f(z) \) around \( z =
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