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AP Calculus AB Unit 1: Limits and Continuity
Master evaluating limits, continuity, and the algebraic and graphical intuition that powers all of AP Calculus AB.
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What this unit covers
12 lessons, each with worked examples, practice problems and flashcards.
Limits & Continuity
- Limits & Continuity (AP Calculus AB Unit 1)
Limit definition, evaluation, one-sided limits, squeeze theorem, and IVT
- What is a Limit?
An intuitive introduction to the concept of limits in calculus
- Estimating Limits from Tables
Learn to estimate limit values by examining tables of function values
- Estimating Limits from Graphs
Visualize limit behavior by reading and interpreting function graphs
- One-Sided Limits
Understand left-hand and right-hand limits and when to use them
- Direct Substitution Method
The simplest limit technique: when you can just plug in the value
- Factoring Method for Limits
Use factoring to simplify and evaluate limits with indeterminate forms
- Rationalizing to Evaluate Limits
Use conjugate multiplication to handle limits with radicals
- Limits at Infinity
Understanding what happens as x grows without bound
- Infinite Limits and Vertical Asymptotes
When functions shoot off to infinity at a specific point
- What is Continuity?
Understanding when a function is continuous at a point
- Types of Discontinuity
Classifying the different ways a function can be discontinuous
Common questions
- What does AP Calculus AB Unit 1: Limits and Continuity cover?
- 12 lessons across one area: Limits & Continuity.
- Is AP Calculus AB Unit 1: Limits and Continuity free to study?
- Yes. Every lesson, quiz and set of flashcards on this page is free to use.
- Where should I start?
- Take the diagnostic first so you know which lessons in this unit you can skip, then work the rest in order and finish each with its exit quiz.