If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains ***.kastatic.org** and ***.kasandbox.org** are unblocked.

Main content

AP Calc:

CHA (BI)

, CHA‑1 (EU)

, FUN (BI)

, FUN‑1 (EU)

, LIM (BI)

, LIM‑1 (EU)

, LIM‑2 (EU)

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.A (LO)

, LIM‑1.A.1 (EK)

, LIM‑1.B (LO)

, LIM‑1.B.1 (EK)

Practice

Limits introGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.C (LO)

, LIM‑1.C.1 (EK)

, LIM‑1.C.2 (EK)

, LIM‑1.C.3 (EK)

, LIM‑1.C.4 (EK)

Learn

Practice

Estimating limit values from graphsGet 3 of 4 questions to level up!

One-sided limits from graphsGet 3 of 4 questions to level up!

Connecting limits and graphical behaviorGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.C (LO)

, LIM‑1.C.5 (EK)

Learn

Practice

Creating tables for approximating limitsGet 3 of 4 questions to level up!

Estimating limits from tablesGet 3 of 4 questions to level up!

One-sided limits from tablesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 700 Mastery points

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.D (LO)

, LIM‑1.D.1 (EK)

, LIM‑1.D.2 (EK)

Learn

Practice

Limits of combined functions: sums and differencesGet 3 of 4 questions to level up!

Limits of combined functions: products and quotientsGet 3 of 4 questions to level up!

Limits of composite functionsGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.D (LO)

, LIM‑1.D.1 (EK)

, LIM‑1.D.2 (EK)

Learn

Practice

Limits by direct substitutionGet 3 of 4 questions to level up!

Direct substitution with limits that don't existGet 3 of 4 questions to level up!

Limits of trigonometric functionsGet 3 of 4 questions to level up!

Limits of piecewise functionsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 700 Mastery points

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.E (LO)

, LIM‑1.E.1 (EK)

Learn

Practice

Limits by factoringGet 3 of 4 questions to level up!

Limits using conjugatesGet 3 of 4 questions to level up!

Limits using trig identitiesGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.E (LO)

, LIM‑1.E.1 (EK)

Practice

Conclusions from direct substitution (finding limits)Get 3 of 4 questions to level up!

Next steps after indeterminate form (finding limits)Get 3 of 4 questions to level up!

Strategy in finding limitsGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑1 (EU)

, LIM‑1.E (LO)

, LIM‑1.E.2 (EK)

Learn

Practice

Squeeze theoremGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 700 Mastery points

AP Calc:

LIM (BI)

, LIM‑2 (EU)

, LIM‑2.A (LO)

, LIM‑2.A.1 (EK)

Practice

Classify discontinuitiesGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑2 (EU)

, LIM‑2.A (LO)

, LIM‑2.A.2 (EK)

Learn

Practice

Continuity at a point (graphical)Get 3 of 4 questions to level up!

Continuity at a point (algebraic)Get 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑2 (EU)

, LIM‑2.B (LO)

, LIM‑2.B.1 (EK)

, LIM‑2.B.2 (EK)

Learn

Practice

Continuity over an intervalGet 3 of 4 questions to level up!

Continuity and common functionsGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑2 (EU)

, LIM‑2.C (LO)

, LIM‑2.C.1 (EK)

, LIM‑2.C.2 (EK)

Learn

Practice

Removable discontinuitiesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 600 Mastery points

AP Calc:

LIM (BI)

, LIM‑2 (EU)

, LIM‑2.D (LO)

, LIM‑2.D.1 (EK)

, LIM‑2.D.2 (EK)

Learn

Practice

Infinite limits: graphicalGet 3 of 4 questions to level up!

Infinite limits: algebraicGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑2 (EU)

, LIM‑2.D (LO)

, LIM‑2.D.3 (EK)

, LIM‑2.D.4 (EK)

, LIM‑2.D.5 (EK)

Learn

Practice

Limits at infinity: graphicalGet 3 of 4 questions to level up!

Limits at infinity of quotientsGet 5 of 7 questions to level up!

Limits at infinity of quotients with square rootsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 500 Mastery points

AP Calc:

FUN (BI)

, FUN‑1 (EU)

, FUN‑1.A (LO)

, FUN‑1.A.1 (EK)

Learn

Practice

Using the intermediate value theoremGet 3 of 4 questions to level up!

Justification with the intermediate value theoremGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 200 Mastery points

Up next for you:#### Unit test

Level up on all the skills in this unit and collect up to 3400 Mastery points!AP® is a registered trademark of the College Board, which has not reviewed this resource.