AP Calculus BC -- Sequences & Series (divergence vs convergence)
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Last updated 9:34 PM on 4/13/24
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7 Terms
1
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when does a nth-term series converge?
never -- cannot test for convergence
2
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when does a nth-term test diverge?
when the limit of the series as n —> ∞ does NOT equal 0
3
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when does a geometric series converge?
when |r| < 1
4
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when does a geometric series diverge?
when |r| ≥ 1
5
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when does a p-series converge?
when p > 1
6
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when does a p-series diverge?
when p ≤ 1
7
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does the alternating series test test for convergence or divergence?
convergence
