Example 7.13.  Locate the poles of , and specify their order.

Explore Solution 7.13.

Enter the function   and find roots of the polynomial in the denominator.  

Evaluate g[z] at the poles.  

Thus has four simple poles.

We can use Mathematica to investigate the absolute value of  .

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