Example 8.4.  Find the residue of    at  .  

Explore Solution 8.4.

Enter the function  .   

The function  f[z]  has a pole of order  3  at  .  The residue is computed using Theorem 8.2 (c).

Aside. We can verify this computation with Mathematica's built in "Residue" procedure.

Which is the coefficient of   in the Laurent series expansion for  f[z].

(c) 2006 John H. Mathews, Russell W. Howell