- #1
daoshay
- 14
- 0
Homework Statement
find the Laurent series for
[tex]\frac{z+2}{z^{5}-8z^{2}}[/tex] in 2<|z|<[tex]\infty[/tex]
Homework Equations
The Attempt at a Solution
Well, I factored out z[tex]^{5}[/tex] in the denominator, which left me with a geometric sum (since |z|>2). I've come up with [tex]\frac{z+2}{z^{5}}[/tex][tex]\sum[/tex][tex]\frac{8}{z^{3}}[/tex][tex]^{n}[/tex]
I'm not sure if I'm going in the right direction, but if I am, could someone please give me a hint at what to look at next.