We can use the theorem to find tricky limits like sin (x)/x at x=0, by "squeezing" sin (x)/x between two nicer functions and using them to find the limit at x=0.

Direct substitution and other algebraic methods don't seem to work. Looking at the graph of f (x) = x sin (x) , we can estimate that the limit is equal to 1 . To prove that lim x → 0 x sin (x) = 1 , we …

The limits are in fact equal, and it's easy enough to see that without resort to the squeeze theorem. The point of this exercise, though, is to show how the squeeze theorem could be …

An older video where Sal introduces the squeeze (sandwich) theorem and its meaning. Created by Sal Khan.

Squeeze theorem Learn Squeeze theorem intro Limit of sin (x)/x as x approaches 0

Now, I'm not gonna reprove this in this video, but we have a whole other video dedicated to proving this famous limit, and we do it using the squeeze, or the sandwich theorem. So, let's …

We use a geometric construction involving a unit circle, triangles, and trigonometric functions. By comparing the areas of these triangles and applying the squeeze theorem, we demonstrate …

Determining limits using the squeeze theorem Learn Squeeze theorem intro Limit of sin (x)/x as x approaches 0

We'll start by learning the notation used to express limits, and then we'll practice estimating limits from graphs and tables. We'll also work on determining limits algebraically. From there, we'll …

AP®︎/College Calculus AB Using the intermediate value theorem Google Classroom