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# 121 Note for MA 16100 with Professor Zachmanoglou at Purdue

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This 1 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Purdue University taught by a professor in Fall. Since its upload, it has received 21 views.

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Date Created: 02/06/15
Calculus 2 Test For Divergence or Convergence Geometric Series ZRAn Convergent when Rltl Divergent when IR gt or 1 PSeries Z lnquotp Convergent when pgtl Divergent when plt or 1 Test for Divergence If Iim n9 an DNE or 0 then Zan is divergent Integral Test Suppose f is positive continuous and decreasing in the interval from l and suppose that fnan then the series Zan is convergent and Sfxdx is convergent Comgarison Test Suppose Zan and Zbn have positive terms a If Zbn is convergent and anltbn Then Zan is convergent b If Zbn is divergent and angtbn Then Zan is divergent Limit Comgarison Test Suppose Zan and Zbn are series with positive terms If Iim n9 anbnc where c is a finite constant and cgtO Then the series either both converge or both diverge Alternating Series Test If i bnlltbn for n and ii Iim n9 bn0 then the alternating series converges Ratio Test i If Iim n9 anlanLltl Then Zan is abs convergent and convergent ii lflim n9 anlanLgtl Then Zan is divergent iii If Iim n9 anlanl Then there is no conclusion about Zan Root Test i Iim n9 nanLltl Then Zan is abs convergent ii Iim n9 nanLgtl Then Zan is divergent

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