Limits & Continuity

Evaluating limits, squeeze theorem, continuity, and the Intermediate Value Theorem

This section contains 12 topics with 0 subtopics, 59 practice problems and 92 flashcards. Each topic includes comprehensive written notes, worked examples with detailed solutions, and interactive lessons for hands-on practice.

Topics Covered

• 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

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