2. Functions of a Complex Variable

Limits And Continuity — Quiz

Test your understanding of limits and continuity with 5 practice questions.

Practice Questions

Question 1

What is the precise $\varepsilon$-$\delta$ meaning of $\lim_{z\to z_0} f(z)=L$ in complex analysis?

Question 2

A function $f$ is continuous at $z_0$ exactly when which condition holds?

Question 3

Compute $\lim_{z\to 2}(z^2+1)$.

Question 4

At which point is $f(z)=1/z$ not continuous?

Question 5

If $\lim_{z\to z_0} f(z)=a$ and $\lim_{z\to z_0} g(z)=b$, then $\lim_{z\to z_0}[f(z)+g(z)]$ equals