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### 15 Cards in this Set

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 indeterminate forms 0/0 inf/inf 0*inf 1^inf 0^0 inf-inf special case of improper interval with integral of 1 to inf with dx/x^p take 1/p-1 converages if p>1 diverages if p<-1 sum of geometric series a/(1-r) where a is first term and r the multiple in a geometric series if r><1 abs r >- 1 , diverges abs r between 0 and 1, converges (not including one) nth term test take limit of the nth tern, limit from an, must be =0 to converge. integral test if fx is positive, continuous, decreasing, series will converge if integral converges and vice versa (both behave the same). p test for sum of 1/n^p converges p>1 diverges is p is between o and 1 (including 1) direct comparison appearances aside! -if a bigger series converges, then the smaller one converges. -if a smaller one diverges, the bigger diverges. limit comparison test (another way to do comparisons when the direct comparison test wont work) limit as n goes to inf of an/bn (where a1 or lim = infinity INCONCLUSIVE if = 1 If ratio test is inconclusive try moving to the alternating series test root test an converes absolutely if limit rt n (an)<1 , diverges if = infinity INCONCLUSIVE if = 1 when applying the rrot just divide each exponent by N.