All AP Courses

Unit 1

AP Calculus AB Unit 1: Limits and Continuity

10–15% of the multiple-choice section · 16 topics

What a limit is and how to find one from a graph, a table or a formula, continuity and the kinds of discontinuity, limits involving infinity, and the Intermediate Value Theorem.

Topics

  1. 1.1Introducing Calculus: Can Change Occur at an Instant?
  2. 1.2Defining Limits and Using Limit Notation
  3. 1.3Estimating Limit Values from Graphs
  4. 1.4Estimating Limit Values from Tables
  5. 1.5Determining Limits Using Algebraic Properties of Limits
  6. 1.6Determining Limits Using Algebraic Manipulation
  7. 1.7Selecting Procedures for Determining Limits
  8. 1.8Determining Limits Using the Squeeze Theorem
  9. 1.9Connecting Multiple Representations of Limits
  10. 1.10Exploring Types of Discontinuities
  11. 1.11Defining Continuity at a Point
  12. 1.12Confirming Continuity over an Interval
  13. 1.13Removing Discontinuities
  14. 1.14Connecting Infinite Limits and Vertical Asymptotes
  15. 1.15Connecting Limits at Infinity and Horizontal Asymptotes
  16. 1.16Working with the Intermediate Value Theorem (IVT)

Unit check

15 questions drawn from every lesson in Unit 1. Each wrong answer links back to where the idea is taught.

Take the Unit 1 check