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AP Calculus BC Flashcards: Comparison Tests for Convergence

Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026

Review key ideas with interactive flashcards. This set includes 10 cards to help you master important concepts.

Define the purpose of a series convergence test.
A series convergence test, such as the comparison test, is a method used to determine if a series converges or diverges.
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Define the purpose of a series convergence test.
A series convergence test, such as the comparison test, is a method used to determine if a series converges or diverges.
What fundamental question do both the comparison test and the limit comparison test answer?
Both tests answer the fundamental question of whether a series converges or diverges.
What is the limit comparison test?
The limit comparison test is a method to determine whether a series converges or diverges. This topic is for BC ONLY.
Term: Series Convergence/Divergence
This refers to the property of a series that is determined using methods like the comparison test or the limit comparison test.
For which AP Calculus course are the comparison tests a required topic?
The comparison test and the limit comparison test are required topics for BC ONLY.
If you need to determine if a series converges, what are two methods you could use based on the provided content?
You could use either the comparison test or the limit comparison test to determine if the series converges or diverges.
How are the comparison test and limit comparison test similar in their function?
Both are methods that serve the same function: to establish the convergence or divergence of a series.
What is the comparison test?
The comparison test is a method to determine whether a series converges or diverges. This topic is for BC ONLY.
What is the primary goal when using a comparison test?
The primary goal is to determine whether a given series converges or diverges.
A student is presented with a series and asked to analyze its end behavior. What is the specific determination they are being asked to make?
They are being asked to determine whether the series converges or diverges.