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## Plane Analytic Geometry And Calculus I

by: Dorothea Bode

45

0

1

# Plane Analytic Geometry And Calculus I MA 16100

Marketplace > Purdue University > Mathematics (M) > MA 16100 > Plane Analytic Geometry And Calculus I
Dorothea Bode
Purdue
GPA 3.97

Zachmanoglou

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COURSE
PROF.
Zachmanoglou
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Dorothea Bode on Saturday September 19, 2015. The Class Notes belongs to MA 16100 at Purdue University taught by Zachmanoglou in Fall. Since its upload, it has received 45 views. For similar materials see /class/208112/ma-16100-purdue-university in Mathematics (M) at Purdue University.

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Date Created: 09/19/15
Calculus 2 Test For Divergence or Convergence Geometric Series ZRAn Convergent when Rltl Divergent when IR gt or 1 PSeries ZlnAp 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 anlanLlt1 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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