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This says that the limit exists and equals the residue. Conversely, if the limit exists then either the pole is simple, or \(f\) is analytic at \(z_0\). In both cases the limit equals the
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I am trying to find the residue of the function f ( z) = ( z + 1) 2 e 3 / z 2 at z = 0. I tried the following in Mathematica Residue [ (z+1)^2*Exp [3/z^2], {z,0}] which remains
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The residue is defined as the coefficient of (z-z 0)-1 in the Laurent expansion of expr. NResidue numerically integrates around a small circle centered at the point z 0 in the complex plane.
I can't do math equations.
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