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# Unit: Infinite sequences and series

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑8 (EU)
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#### 0

Possible mastery points

Series are sums of multiple terms. Infinite series are sums of an infinite number of terms. Don't all infinite series grow to infinity? It turns out the answer is no. Some infinite series converge to a finite value. Learn how this is possible, how we can tell whether a series converges, and how we can explore convergence in Taylor and Maclaurin series.

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

## 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)

### Practice

#### Quiz 1

Level up on the above skills and collect up to 320 Mastery points

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.5 (EK)

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.6 (EK)

## 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!

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.8 (EK)
,
LIM‑7.A.9 (EK)

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.10 (EK)

AP Calc:
LIM (BI)
,
LIM‑7 (EU)
,
LIM‑7.A (LO)
,
LIM‑7.A.11 (EK)

## 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

#### Quiz 2

Level up on the above skills and collect up to 640 Mastery points

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

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)

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)

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

#### Quiz 3

Level up on the above skills and collect up to 640 Mastery points
Up next for you:

#### Unit test

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