chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power...

Post on 24-May-2020

10 views 0 download

Transcript of chapter 9 section 1 geom series power series.notebook...chapter 9 section 1 geom series power...

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

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

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

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

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

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)

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

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

STOPdate ____

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

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

(black, blue, then pink)

1 +

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

to find the interval of convergence...

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

1(1 - x) = =

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

1(1 - x) = =

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

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

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

h(x) = 15

2x - 1

from class packet

centered at x = 2

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

...upon a power series

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

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

pink, blue, black

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

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

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

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!

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

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

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

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