Unit 1 · Limits and Continuity
Chapter 1.6
Continuity on Intervals — and Repairing Breaks
Some breaks are illusions: a single missing point that one line of definition can heal.
10–14 min · free · lesson 6 of 46
By the end
- 01Confirm continuity of a function over an interval
- 02Choose parameter values that make a piecewise function continuous
- 03Redefine a function to remove a removable discontinuity
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