Unit 1 · Limits and Continuity
Chapter 1.1
Can Change Happen in an Instant?
A speedometer reads 60 at a single instant — but speed needs two moments to measure. The paradox that forces a genuinely new idea: the limit.
11–15 min · free · lesson 1 of 46
By the end
- 01Explain why instantaneous rate of change requires a limiting process
- 02Read and write limit notation, including one-sided limits
- 03Estimate an instantaneous rate by shrinking the measuring interval
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