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### 9 Cards in this Set

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 Geometric Series Summation 0 to infinity of a*r^k Converges to a/(1-r) if abs(r)<1 kth Term Test All series if limit of asubk as k approaches infinity doesn't equal zero, it diverges Integral Test Summation from 1 to inf. of asubk where asubk is some continuous function of k, decr, and always greater than zero the summation and the integral of f(k) on the same interval either both converge or both diverge p-Series Test The one with 1/k^p Converges for p>1, diverges for p> or = 1 Comparison Test you have 2 summations, where one nth term is always greater than the other If the greater one converges, the lesser one converges. If the lesser one diverges, the great one diverges. Limit Comparison Test 2 summations, both nth terms are greater than zero, and the limit of one over the other is greater than zero Both Converge or both diverge Absolute Convergence Series with some positive and negative terms(including alternating series) if abs of summation converges, then the summation converges absolutely Ratio Test Any series limit as k approaches inf. of abs(asub(k+1)/asubk) If it's less than 1 Converges If it's greater than 1 Diverges Root Test Any series kth root of abs of asubk