Convergence and Divergence Tests for Series
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9 Terms
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Ratio Test
Convergence if limit < 1, divergence if > 1.
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Nth Term Test
Diverges if limit ā 0 as nāā.
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Geometric Series
Converges if r < 1, diverges if r > 1.
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Limit Comparison Test
Requires positive constant for convergence/divergence.
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P-Series
Converges if p > 1, diverges if p < 1.
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Harmonic Series
1/n diverges; a specific P-series with p=1.
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Alternating Series Test
Converges if limit of Bn is 0.
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Absolute Convergence
Series converges if |An| converges.
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Conditional Convergence
Series converges but |An| diverges.
Note 
Flashcards (36)