Lesson: The Squeeze Theorem Mathematics • Higher Education

In this lesson, we will learn how to use the squeeze (sandwich) theorem to evaluate some limits when the value of a function is bounded by the values of two other functions.

Lesson Video

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03:35

Lesson Worksheet

Q1:

Consider the following arc of a unit circle, where ray is inclined at radians.

What, in terms of , are the coordinates of ?

Write the following inequalities in terms of , , and :

By dividing your inequalities by , using the squeeze theorem and the fact that , which of the following conclusions can you draw?

Q2:

Given that the function is continuous, which of the following can we conclude from the squeeze theorem?

Q3:

The graph shown is that of the function .

Given that is a function such that for all , which of the following functions can be such that , so that we can show that ?