Book contents
- Frontmatter
- Dedication
- Preface
- Contents
- I Limits and Differentiation
- II Integration
- III Infinite Series
- 33 The geometry of geometric series
- 34 Geometric differentiation of geometric series
- 35 Illustrating a telescoping series
- 36 Illustrating applications of the monotone sequence theorem
- 37 The harmonic series and the Euler-Mascheroni constant
- 38 The alternating harmonic series
- 39 The alternating series test
- 40 Approximating π with Maclaurin series
- IV Additional Topics
- V Appendix: Some Precalculus Topics
- Solutions to the Exercises
- References
- Index
- About the Author
39 - The alternating series test
from III - Infinite Series
- Frontmatter
- Dedication
- Preface
- Contents
- I Limits and Differentiation
- II Integration
- III Infinite Series
- 33 The geometry of geometric series
- 34 Geometric differentiation of geometric series
- 35 Illustrating a telescoping series
- 36 Illustrating applications of the monotone sequence theorem
- 37 The harmonic series and the Euler-Mascheroni constant
- 38 The alternating harmonic series
- 39 The alternating series test
- 40 Approximating π with Maclaurin series
- IV Additional Topics
- V Appendix: Some Precalculus Topics
- Solutions to the Exercises
- References
- Index
- About the Author
Summary

- Type
- Chapter
- Information
- Cameos for CalculusVisualization in the First-Year Course, pp. 113 - 114Publisher: Mathematical Association of AmericaPrint publication year: 2015