# Squeeze theorem

4 videos

1 skill

If a function is always smaller than one function and always greater than another (i.e. it is always between them), then if the upper and lower function converge to a limit at a point, then so does the one in between. Not only is this useful for proving certain tricky limits (we use it to prove lim (x → 0) of (sin x)/x, but it is a useful metaphor to use in life (seriously). :)
This tutorial is useful but optional. It is covered in most calculus courses, but it is not necessary to progress on to the "Introduction to derivatives" tutorial.

### Squeeze theorem or sandwich theorem

VIDEO
7:11 minutes

### Squeeze theorem exercise example

VIDEO
3:58 minutes

### Squeeze theorem

PRACTICE PROBLEMS

### Squeeze theorem (sandwich theorem)

VIDEO
7:37 minutes

Intuition (but not a proof) of the Squeeze Theorem.

### Proof: lim (sin x)/x

VIDEO
18:05 minutes

Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1