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 if $\lim_{x\to a} f(x)=\infty$?

Question 2

If $\lim_{x\to a} f(x)=\infty$, what vertical asymptote is suggested by the graph of $f$?

Question 3

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

Question 4

For $f(x)=\dfrac{1}{x-2}$, which value of $x$ gives a vertical asymptote?

Question 5

For $f(x)=\dfrac{5}{(x+1)^2}$, what happens to $f(x)$ as $x\to -1$?