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Infinite sequences and series

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

About this unit

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 and how we can tell whether a series converges and to what value. We will also learn about Taylor and Maclaurin series, which are series that act as functions and converge to common functions like sin(x) or eˣ.