Unit 1 · Limits and Continuity

Chapter 1.5

What It Means to Be Continuous

There are exactly three ways a curve can break — and a three-part test that certifies it doesn't.

10–14 min · free · lesson 5 of 46

By the end

  1. 01Classify discontinuities as removable, jump, or asymptotic
  2. 02State and apply the definition of continuity at a point

In unit 1

  1. 1.1Can Change Happen in an Instant?11–15
  2. 1.2Reading Limits from Graphs and Tables10–14
  3. 1.3Computing Limits Exactly12–16
  4. 1.4The Squeeze Theorem10–14
  5. 1.5What It Means to Be Continuous10–14
  6. 1.6Continuity on Intervals — and Repairing Breaks10–14
  7. 1.7Limits at the Edges: Asymptotes11–15
  8. 1.8The Intermediate Value Theorem10–13
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