1. Limits and Continuity

Connecting Infinite Limits And Vertical Asymptotes — Quiz

Test your understanding of connecting infinite limits and vertical asymptotes with 5 practice questions.

Practice Questions

Question 1

What does it mean when $\lim_{x\to a} f(x)=\infty$?

Question 2

If $\lim_{x\to a} f(x)=\infty$, what can be said about the graph near $x=a$?

Question 3

Which limit statement shows a vertical asymptote at $x=3$?

Question 4

For $f(x)=\dfrac{1}{(x-2)^2}$, what happens as $x\to 2$?

Question 5

What is the equation of the vertical asymptote of $f(x)=\dfrac{1}{x+4}$?