Common Core · AP Calculus AB
LIM-1.A
AP Calculus AB, Unit 1 — Represent limits analytically using correct notation, and interpret limits expressed in analytic notation.
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
- Combine given limits with the sum, product, quotient, root and composition laws, and say when the quotient law does not apply.
- Resolve a 0/0 form by rationalising a radical, clearing a complex fraction or splitting an absolute value.
- Use sin(x)/x and (1 - cos x)/x, and the squeeze theorem, to find a limit.
- Find the delta that answers a given epsilon for a linear function.