Question 1
Which formula is the geometric series identity used in Laurent expansion methods for $|w|<1$?
Question 2
What is the power series expansion of $\frac{1}{1-z}$ about $z=0$ for $|z|<1$?
Question 3
What is the Laurent series of $\frac{1}{z-2}$ about $z=0$ valid for $|z|<2$?
Question 4
What is the Laurent series of $\frac{1}{z-1}$ about $z=0$ valid for $|z|>1$?
Question 5
What is the partial fraction decomposition of $\frac{1}{z(z-1)}$?
