Using

$\displaystyle \frac{1}{1+z} = \frac{1}{3+(z-2)}$

expand $\displaystyle \frac{1}{1+z}$ is a Taylor series about z=2.

---

Do I just find all the derivatives or something? Perhaps I need to use a geometric series here? Partial fractions? How do I start?

EDIT: It also mentions I need the first four non-zero terms of the series.