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AP Unit 1: Limits and Continuity

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This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:

Read nearby behavior carefully, connect four representations, and justify limits and continuity before differentiating.

Follow the topics below, then try the 30 unit problems before opening the separate step-by-step solutions.

Course outline · Teacher guidance

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