AP Calculus BC · Unit 10: Infinite Sequences and Series

10.8 Ratio Test for Convergence

In short

The nth term test for divergence, integral test, comparison test, limit comparison test, alternating series test, and ratio test for convergence are assessed on the AP Calculus BC Exam. Other methods are explicitly not assessed on the exam, although teachers may include additional methods in the course if time permits.

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What else do you need to know about Ratio Test for Convergence?

This topic is exclusive to the BC course.

How is Ratio Test for Convergence tested on the exam?

Many students struggle with communicating their understanding of series compared to other topics. On the AP Exam, you are expected to use correct notation and language to present solutions, explain reasoning, and justify conclusions. Using the ratio test to find a radius of convergence requires proficient, well-presented algebra. Applying a convergence test requires explicit verification that all necessary conditions are met.

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What do you need to know about Ratio Test for Convergence for AP Calculus BC?

The nth term test for divergence, integral test, comparison test, limit comparison test, alternating series test, and ratio test for convergence are assessed on the AP Calculus BC Exam. Other methods are explicitly not assessed on the exam, although teachers may include additional methods in the course if time permits.

How is Ratio Test for Convergence tested on the AP Calculus BC exam?

Many students struggle with communicating their understanding of series compared to other topics. On the AP Exam, you are expected to use correct notation and language to present solutions, explain reasoning, and justify conclusions.

Where does Ratio Test for Convergence fit in AP Calculus BC?

Ratio Test for Convergence is topic 10.8 in Unit 10: Infinite Sequences and Series of AP Calculus BC.

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