# Test for Pole Procedure

1. Sep 4, 2009

### NJunJie

1. The problem statement, all variables and given/known data

Test for pole procedure.
As attached powerpoint.

2. Relevant equations

3. The attempt at a solution

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2. Sep 4, 2009

### HallsofIvy

Staff Emeritus
Basically, what you have is right- although you should "suspect" that the pole at z= 7 is of order 3, not 7. I suspect that was a typo! A function, f(z) has "a pole of order n at z= z0" if and only if (z- z0)nf(z) has a non-zero limit as z goes to z0 and that is exactly what you have shown.