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chapter 9 section 1 geom series power series.notebook February 16, 2018

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Page 1: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 2: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 3: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 4: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 5: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 6: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

"The nth term test for divergence"

...The only chance for an infinite series to converge is if the terms, as a sequence, converge to 0. (The converse is not necessarily true)

Page 7: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 8: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

STOPdate ____

Page 9: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 10: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

(black, blue, then pink)

1 +

Page 11: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

to find the interval of convergence...

Page 12: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

1(1 - x) = =

Page 13: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

1(1 - x) = =

Page 14: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 15: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 16: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

h(x) = 15

2x - 1

from class packet

centered at x = 2

Page 17: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

...upon a power series

Page 18: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 19: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

pink, blue, black

Page 20: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 21: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 22: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 23: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

we will learn how to check the "endpoints" in the next sections...sometimes Integration techniques allow us to include one or both of the endpoints for the interval of convergence.You are not responsible for those techniques just yet!

Page 24: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 25: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 26: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018

Page 27: chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power series.notebook February 16, 2018 "The nth term test for divergence"...The only chance

chapter 9 section 1    geom series   power series.notebook February 16, 2018