Converge vs. Diverge Flashcards
If the terms of a sequence don’t approach 0
What is a geometric series?
When does it converge and when does it diverge?
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What is a p-series?
When does it converge and when does it diverge?
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What is the TEST FOR DIVERGENCE?
When does it converge and when does it diverge?
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What is the INTEGRAL TEST?
When does it converge and when does it diverge?
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What are the conditions of the integral test?
series must be decreasing and continuous
What are 3 tests used to show that a series is decreasing?
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What is an infinite geometric series?
When does it converge and when diverge?
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What is the LIMIT COMPARISON TEST?
use another series to compare to
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What is the COMPARISON TEST?
compare to another series
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When do you use the comp/limit comp tests?
For infinite geometric series or something that resembles the p-series
If a series has negative terms, which tests do you use?
ABSOLUTE CONV TEST and/or ALTERNATING SERIES TEST
What is the ABSOLUTE CONV TEST?
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What is the ALTERNATING SERIES TEST?
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What is the RATIO TEST?
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What is the ROOT TEST?
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