Unit 1 · Limits and Continuity
Chapter 1.4
The Squeeze Theorem
When a function is too wild to touch directly, trap it between two functions you can — and settle what sin(x)/x does at 0.
10–14 min · free · lesson 4 of 46
By the end
- 01Apply the squeeze theorem with justified bounds
- 02Establish lim_{x→0} sin(x)/x = 1
- 03Reconcile graphical, numerical, and algebraic accounts of one limit
In unit 1
- 1.1Can Change Happen in an Instant?11–15
- 1.2Reading Limits from Graphs and Tables10–14
- 1.3Computing Limits Exactly12–16
- 1.4The Squeeze Theorem10–14
- 1.5What It Means to Be Continuous10–14
- 1.6Continuity on Intervals — and Repairing Breaks10–14
- 1.7Limits at the Edges: Asymptotes11–15
- 1.8The Intermediate Value Theorem10–13