Common Core · AP Calculus AB
LIM-2.A
AP Calculus AB, Unit 1 — Justify conclusions about continuity at a point using the definition.
A note on this mapping: The Common Core has no calculus standards; this is the AP Calculus AB learning objective.
The skill that covers it
What a student should be able to do
- Test continuity at a point: f(a) exists, the limit exists, and the two agree.
- Classify a discontinuity as removable, a jump or infinite, from a rule or a graph.
- Find the constant that makes a piecewise function continuous.
- Apply the Intermediate Value Theorem to locate a root on an interval.