Sequncias Infinitas e Sries MV SV SEQUNCIAS O

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Sequências Infinitas e Séries MV SV

Sequências Infinitas e Séries MV SV

SEQUÊNCIAS O que acontece quando n cresce? © 2003 Brooks/Cole, a division of Thomson

SEQUÊNCIAS O que acontece quando n cresce? © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 2

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 3

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 4

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 5

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 6

 • A sequência é dita monótona se for crescente ou decrescente. © 2003

• A sequência é dita monótona se for crescente ou decrescente. © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 7

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 8

SÉRIES © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

SÉRIES © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 9

Somas Parciais © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is

Somas Parciais © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 10

Exemplos de séries: © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™

Exemplos de séries: © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 11

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 12

Séries Geométricas © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is

Séries Geométricas © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 13

Convergência/Divergência de Série Geométrica © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson

Convergência/Divergência de Série Geométrica © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 14

Convergência/Divergência de Série Geométrica © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson

Convergência/Divergência de Série Geométrica © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 15

Critério de Convergência e Divergência de Séries A) Condição necessária de CONVERGÊNCIA: © 2003

Critério de Convergência e Divergência de Séries A) Condição necessária de CONVERGÊNCIA: © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 16

B) Condição suficiente de DIVERGÊNCIA (TESTE DA DIVERGÊNCIA):

B) Condição suficiente de DIVERGÊNCIA (TESTE DA DIVERGÊNCIA):

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 19

Teste da Integral © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™

Teste da Integral © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 20

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 21

Série Harmônica de ordem p (ou simplesmente série p) © 2003 Brooks/Cole, a division

Série Harmônica de ordem p (ou simplesmente série p) © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 22

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 23

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 24

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 25

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 26

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 27

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 28

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 29

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 30

O mesmo vale para a série © 2003 Brooks/Cole, a division of Thomson Learning,

O mesmo vale para a série © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 31

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 32

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 33

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 34

 © 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a

© 2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. 35