AP Calculus AB · Unit 1 · MCQ 10–15%
Unit 1: Limits and Continuity
Unit 1: Limits and Continuity
A limit describes nearby behaviour, not a filled point. Continuity is a three-part checklist used before existence theorems. This unit trains you to say what a graph, table, or algebraically simplified expression is actually claiming.
Signature activity. Move a graph's filled point while nearby behaviour stays fixed, then predict what changes (limit versus function value).
Lessons in this unit
Limit versus function value
Explain why can exist and differ from , and estimate a limit from a graph or table without relying on a filled point.
Skills: Limit versus function value · One-sided limits and algebraic methods
Continuity before existence
Faculty draft. Not a published unit journey.
Use the three-part continuity checklist at a point, and refuse to invoke the Intermediate Value Theorem until continuity on a closed interval is established.
Skills: Continuity checklist · Intermediate Value Theorem conditions