Skip to main content

Abstract

The decimal expansions of rational numbers discussed in chapter Rational Numbers leads into the concepts sequence, converging sequence and limit of a sequence, which play a fundamental role in mathematics. The development of calculus has largely been a struggle to come to grips with certain evasive aspects of these concepts. We will try to uncover the mysteries by being as concrete and down-to-earth as possible.

He sat down and thought, in the most thoughtful way he could think. (Winnie-the-Pooh)

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 64.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Eriksson, K., Estep, D., Johnson, C. (2004). Sequences and limits. In: Applied Mathematics: Body and Soul. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05796-4_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-05796-4_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05659-8

  • Online ISBN: 978-3-662-05796-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics