Beyond mere convergence

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, I suggest that calculus instruction should include a wider variety of examples of convergent and divergent series than is usually demonstrated. In particular, a number of convergent series, such as (Formula present) are considered, and their exact values are found in a straightforward manner. We explore and utilize a number of mathematical topics, including manipulation of certain power series and recurrences.

Original languageEnglish (US)
Pages (from-to)157-164
Number of pages8
JournalPRIMUS
Volume12
Issue number2
DOIs
StatePublished - Jun 2002
Externally publishedYes

Keywords

  • Bernoulli
  • Binomial theorem
  • Convergence
  • Divergence
  • Euler
  • Eulerian numbers
  • Infinite series
  • Ratio test
  • Recurrence

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