# 11.3 Alternating - Math 1432 If you email me please put...

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Math 1432 If you email me, please put your class in the subject line. Don’t forget the online quizzes. THINK:One of the following cannot be unscrambled into a word. Which one is it? 1.CTRSYP 2.CSYRLI 3.CSPRYR 4.CSRPTI
Geometric Series Test. Basic Divergence Test. p-Series Test. Integral Test. Basic Comparison Test. Limit Comparison Test.
Root Test Let =nn babe a series with nonzero terms. 1. =nn baconverges if →∞<nnna1lim. 2. =nn badiverges if →∞nnna1lim. 3. The Root Test in inconclusive if →∞=nnna1lim. EX. (29kkk 121=-
Ratio TestLet =nn babe a series with nonzero terms. 1. =nn baconverges if +→∞<n 1nna1alim. 2. =nn badiverges if +→∞n 1nna1alim. 3. The Ratio Test is inconclusive if +→∞=n 1nna1alim. Ex. (292n2nn 15n 9=-
Alternating Series Test for Convergence: If the alternating series (29-=-=-+-+-+n 1n123456nn 11bbbbbbbb0...satisfies (a) +n 1nbbfor all n (b) →∞=nnb0limthen the series is convergent.