10. Singularities
Removable Singularities — Quiz
Test your understanding of removable singularities with 5 practice questions.
Practice Questions
Question 1
Which condition is enough to conclude that an isolated singularity at $z_0$ is removable?
Question 2
What value makes $f(z)=\frac{e^z-1}{z}$ removable at $z=0$?
Question 3
What is the removable value at $z=1$ for $f(z)=\frac{z^2-1}{z-1}$?
Question 4
A Laurent expansion of a function about $z_0$ contains only nonnegative powers of $z-z_0$. What type of singularity is at $z_0$?
Question 5
What value makes $f(z)=\frac{1-\cos z}{z^2}$ removable at $z=0$?