front 1 Ratio Test: When does it converge & diverge & is inconclusive. | back 1 if the lim n-> ∞ < 1 then the series converges if the lim n-> ∞ < 1 then the series Diverges if the lim n-> ∞ == 1 then the series is inconclusive |
front 2 P - Series: When does a series converge, and diverge. | back 2 The Series converges if P> 1, diverges if P <= 1. |
front 3 Divergence Test: When does it converge & diverge & is inconclusive. | back 3 of the lim n-> 0, then the test is inconclusive. |
front 4 Direct Comparison Test: When does a series converge, and diverge. | back 4
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front 5 Limit Comparison Test: What is the formula for the test? What does L have to be to converge? What does L have to be to diverge? | back 5 If L is a finite positive number (0 < L < ∞) Both series (an) and (bn) either converge or diverge) If L = 0 and Bn converges An also converges if L = ∞ and Bn Diverges then An also diverges |
front 6 Alternating Series Test: When does it converge, and diverge? | back 6 When Lim n->oo an = 0 |