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:

LIM (BI)

, LIM‑7 (EU)

, LIM‑8 (EU)

Not feeling ready for this? Check out Get ready for AP® Calculus.

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.1 (EK)

, LIM‑7.A.2 (EK)

Learn

Practice

Sequence convergence/divergenceGet 3 of 4 questions to level up!

Partial sums introGet 3 of 4 questions to level up!

Partial sums & seriesGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.3 (EK)

, LIM‑7.A.4 (EK)

Learn

Practice

Infinite geometric seriesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 400 Mastery points

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.5 (EK)

Practice

nth term testGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.6 (EK)

Practice

Integral testGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.7 (EK)

Learn

Practice

p-seriesGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.8 (EK)

, LIM‑7.A.9 (EK)

Learn

Practice

Direct comparison testGet 3 of 4 questions to level up!

Limit comparison testGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.10 (EK)

Practice

Alternating series testGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.11 (EK)

Practice

Ratio testGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.A (LO)

, LIM‑7.A.12 (EK)

, LIM‑7.A.13 (EK)

Practice

Determine absolute or conditional convergenceGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 800 Mastery points

AP Calc:

LIM (BI)

, LIM‑7 (EU)

, LIM‑7.B (LO)

, LIM‑7.B.1 (EK)

Learn

Practice

Alternating series remainderGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑8 (EU)

, LIM‑8.A (LO)

, LIM‑8.A.1 (EK)

, LIM‑8.A.2 (EK)

, LIM‑8.B (LO)

, LIM‑8.B.1 (EK)

Learn

Practice

Taylor & Maclaurin polynomialsGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑8 (EU)

, LIM‑8.C (LO)

, LIM‑8.C.1 (EK)

Learn

Practice

Lagrange error boundGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑8 (EU)

, LIM‑8.D (LO)

, LIM‑8.D.1 (EK)

, LIM‑8.D.2 (EK)

, LIM‑8.D.3 (EK)

, LIM‑8.D.4 (EK)

Practice

Interval of convergenceGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑8 (EU)

, LIM‑8.E (LO)

, LIM‑8.E.1 (EK)

, LIM‑8.F (LO)

, LIM‑8.F.1 (EK)

, LIM‑8.F.2 (EK)

Learn

Practice

Function as a geometric seriesGet 3 of 4 questions to level up!

Maclaurin series of sin(x), cos(x), and eˣGet 3 of 4 questions to level up!

AP Calc:

LIM (BI)

, LIM‑8 (EU)

, LIM‑8.D (LO)

, LIM‑8.D.6 (EK)

, LIM‑8.G (LO)

, LIM‑8.G.1 (EK)

Learn

Practice

Integrate & differentiate power seriesGet 3 of 4 questions to level up!

Integrals & derivatives of functions with known power seriesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 800 Mastery points

Learn

Up next for you:#### Unit test

Level up on all the skills in this unit and collect up to 2000 Mastery points!AP® is a registered trademark of the College Board, which has not reviewed this resource.