Lesson: Comparing Rate of Growth of Functions Mathematics • Higher Education

In this lesson, we will learn how to use limits to compare the relative magnitudes of functions and their rates of change.

Lesson Video

Q1:

For the functions and , evaluate using l’Hôpital’s rule.

Q2:

Evaluate using l’Hôpital’s rule.

From the answer to the limit, what can you say about the growth rate of compared to as ?

Q3:

If , what do you notice about the growth rate of compared to as ?