Problem: Calculate the residue of the function $f(z) = \frac{z^3}{(z-1)(z^4+2)}$ at $z=0$
I am confused on where to even start on this question since there is no pole at $z=0$. Is $z=0$ even a singularity of this function?
2026-03-26 22:55:34.1774565734
Find the residue of the function $f(z) = \frac{z^3}{(z-1)(z^4+2)}$ at $z=0$
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No, $0$ is not a singularity of $f$. Therefore, the residue at $0$ is $0$.