AP Calculus BC Knowledge Review: Series

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Introduce:

In this chapter, you will learn different types of series and the many tests for determining whether they converge or diverge. The types of series include geometric series, p-Series, alternating series, power, and Taylor series. The tests for convergence include the integral test, the comparison test, the limit comparison test, and the ratio test for absolute convergence. These tests involve working with algebraic expressions and lengthy computations. It is important that you carefully work through the practice problems provided in the chapter and check your solutions with the given explanations.

Key Ideas

Sequences and Series

Geometric Series, Harmonic Series, and p-Series

Convergence Tests

Alternating Series: Absolute and Conditional Convergence

Power Series

Taylor Series

Operations on Series

Error Bounds

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