9. Laurent Series

Annuli — Quiz

Test your understanding of annuli with 5 practice questions.

Practice Questions

Question 1

Which set is an annulus centered at $0$ with inner radius $2$ and outer radius $5$?

Question 2

For the annulus $1<|z+3|<4$, what is the center?

Question 3

Does the point $z=2i$ lie in the annulus $1<|z|<3$?

Question 4

Which statement about an annulus is true?

Question 5

For the Laurent expansion of $\frac{1}{z(z-2)}$ about $z=0$, in which annulus does the expansion converge?