1. Limits and Continuity

Connecting Limits At Infinity And Horizontal Asymptotes — Quiz

Test your understanding of connecting limits at infinity and horizontal asymptotes with 5 practice questions.

Practice Questions

Question 1

If $\lim_{x\to\infty} f(x)=5$, what does this tell us about the graph of $f$?

Question 2

Which function has the horizontal asymptote $y=0$?

Question 3

What is $\lim_{x\to\infty}\frac{3x+2}{x}$?

Question 4

What is the horizontal asymptote of $f(x)=\frac{5x^2-1}{2x^2+7}$?

Question 5

If $\lim_{x\to\infty} f(x)=2$ and $\lim_{x\to-\infty} f(x)=2$, what can we say about $f$?