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AP Calc BC

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
P-Series Test   An converge P > 1  
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P-Series Test   An diverge P ≤ 1  
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Geometric Series Test   An converge |r| < 1  
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Geometric Series Test   An diverge r ≥ 1  
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nth term Test   Diverges when limit →∞ ≠ 0  
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nth Term Test   Inconclusive when limit →∞ = 0  
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Conditionl Convergence (Alternating is the conditions)   Does NOT convegre absolutely, Converges Alternating  
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Integral Test Conditions   1. Positive 2. Decreasing 3. Continuous  
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Integral Test   Converges when limit →∞ = converges  
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Integral Test   Diverges when limit →∞ = diverges (0, ∞, -∞)  
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Limit Comparision Test   C = Lim →∞ of |An * 1/Bn|  
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Limit Comparison Test Conditions   C = Positive & Finit (NOT ∞ /-∞ )  
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Limit Comparison Test Conditions   Both functions either converge or diverge depending on the convergence of An or Bn  
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Comparison Test   Converges when a greater function converges  
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Comparision Test   Diverges when a lesser function converges  
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Ratio Test   L = Lim →∞ of |An +1 / An|  
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Ratio Test   Diverges when L > 1  
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Ratio Test   Converges when L < 1  
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Ratio Test   Inconclusive when L = 1  
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Alternating Series Test Conditions   1. Decreasing 2. Limit of all terms = 0 3. Alternating (implied by -1)  
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Created by: martoccib
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