# Chapter 8: Infinite Series

Difficulty Level:

**At Grade**Created by: CK-12

This chapter introduces the study of sequences and infinite series. In calculus, we are interested in the behavior of sequences and series, including finding whether a sequence approaches a number or whether an infinite series adds up to a number. The tests and properties in this chapter will help you describe the behavior of a sequence or series.

Chapter Outline

- 8.1.
## Sequences

- 8.2.
## Infinite Series

- 8.3.
## Series Without Negative Terms

- 8.4.
## Series With Odd or Even Negative Terms

- 8.5.
## Ratio Test, Root Test, and Summary of Tests

- 8.6.
## Power Series

- 8.7.
## Taylor and Maclaurin Series

- 8.8.
## Calculations with Series

### Chapter Summary

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Description

This chapter introduces the study of sequences and infinite series. The properties presented describe the behavior of a sequence or series, including whether a sequence approaches a number or an infinite series adds to a number.

Tags:

absolute convergence
alternating series test
binomial series
(23 more)
CK.MAT.ENG.SE.1.Calculus.8
comparison test
convergence
divergence
Euler's formula
geometric series
harmonic series
infinite series
integral test
l'Hopital's rule
L'Hospital's rule
limit comparison test
limit of a sequence
Maclaurin polynomial
p-series
Picard's Method
power series
ratio test
root test
sequence of partial sums
sequences
series
Taylor polynomial

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Date Created:

Sep 25, 2013
Last Modified:

Sep 17, 2015
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