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# Unit: Infinite sequences and series

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑8 (EU)

#### 0

Possible mastery points

## Defining convergent and divergent infinite series

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.1 (EK)
,
LIM‑7.A.2 (EK)
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!

## Working with geometric series

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.3 (EK)
,
LIM‑7.A.4 (EK)

#### Quiz 1

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

## The nth-term test for divergence

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!

## Integral test for convergence

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!

## Harmonic series and p-series

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.7 (EK)
Practice
p-seriesGet 3 of 4 questions to level up!

## Comparison tests for convergence

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.8 (EK)
,
LIM‑7.A.9 (EK)
Practice
Direct comparison testGet 3 of 4 questions to level up!
Limit comparison testGet 3 of 4 questions to level up!

## Alternating series test for convergence

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!

## Ratio test for convergence

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!

## Determining absolute or conditional convergence

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!

#### Quiz 2

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

## Alternating series error bound

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.B (LO)
,
LIM‑7.B.1 (EK)
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)

AP Calc:
LIM (BI)
,
LIM‑8 (EU)
,
LIM‑8.C (LO)
,
LIM‑8.C.1 (EK)

## Radius and interval of convergence of power series

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)

## Representing functions as power series

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

#### Quiz 3

Level up on the above skills and collect up to 800 Mastery points
Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 2000 Mastery points!