2019-9.md

course	course_year	question_number	tags	title	year
Complex Analysis or Complex Methods	IB	9	IB 2019 Complex Analysis or Complex Methods	Paper 1, Section I, F	2019

What is the Laurent series for a function $f$ defined in an annulus $A$ ? Find the Laurent series for $f(z)=\frac{10}{(z+2)\left(z^{2}+1\right)}$ on the annuli

$$\begin{aligned} &A_{1}={z \in \mathbb{C}|0<| z \mid<1} \quad \text { and } \\ &A_{2}={z \in \mathbb{C}|1<| z \mid<2} \end{aligned}$$