1. Limits and Continuity

Limits At Infinity — Quiz

Test your understanding of limits at infinity with 5 practice questions.

Practice Questions

Question 1

When evaluating the limit of a rational function as $x \to \infty$, what is the primary factor to consider for determining the horizontal asymptote?

Question 2

Consider the function $f(x) = \frac{4x^2 - 7x + 2}{2x^3 + 5x - 1}$. What is the horizontal asymptote of this function?

Question 3

What is the limit of the function $f(x) = \frac{6x^4 - 2x^2 + 1}{3x^4 + 5x^3 - 7}$ as $x \to \infty$?

Question 4

Which of the following describes the end behavior of the function $f(x) = -x^3 + 2x^2 - 5$ as $x \to \infty$?

Question 5

What is the limit of $f(x) = \frac{e^x}{x^2}$ as $x \to \infty$?