8.1. If , then
the Laurent series of f about the point
has the form
Explore Solution 8.1.
Enter the function and construct the Laurent series about z = 0.
The coefficient of is 2 so the residue is Res[f, 0] = 2.
Aside. We can verify this computation with Mathematica's built in "Residue" procedure.
(c) 2006 John H. Mathews, Russell W. Howell