Thread: Help! Laurent series

Hi everyone... I need help with a Laurent series. The problem is finding the finite Laurent series for (1 + z^2) / (z-2) for |z-2| > 2. I'm having trouble getting the algebraic manipulation of some form of: 1/(1 + g(z-2) ) or 1/(1 - g(z-2)). The finite part is also throwing me off. Thanks for any help you can give!

Originally Posted by janfg67

Hi everyone... I need help with a Laurent series. The problem is finding the finite Laurent series for (1 + z^2) / (z-2) for |z-2| > 2. I'm having trouble getting the algebraic manipulation of some form of: 1/(1 + g(z-2) ) or 1/(1 - g(z-2)). The finite part is also throwing me off. Thanks for any help you can give!

So,