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Unit 12: Series

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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. (This content belongs in AP Calc BC only, and not in AP Calc AB.)

Finite geometric series

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Quiz 1

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Infinite geometric series

Quiz 2

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Basic convergence tests

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Quiz 3

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Estimating infinite series

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Quiz 4

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Power series intro

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Quiz 5

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Power series function representation

Quiz 6

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Unit test

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