- #1
- 1,271
- 7
Homework Statement
Find the Laurent expansion of [tex]f(z) = \sin(1-\frac{1}{z})[/tex] about z = 0, and state the annulus of convergence.
Homework Equations
The Attempt at a Solution
I tried doing the regular expansion of sin(z), then applying the binomial expansion on the (1-1/z)^n terms, but I can't help but feel that there's a better way to approach the problem. Any thoughts?