nicksauce

Science Advisor

Homework Helper

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**1. 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.

**2. Homework Equations**

**3. 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?