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

### Image Attributions

## 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

## Subjects:

## Search Keywords:

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

## Date Created:

Feb 23, 2012## Last Modified:

Apr 29, 2014
Files can only be attached to the latest version of chapter