Beyond mere convergence

James A. Sellers

doi:10.1080/10511970208984024

Beyond mere convergence

James A. Sellers

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	157-164
Number of pages	8
Journal	PRIMUS
Volume	12
Issue number	2
DOIs	https://doi.org/10.1080/10511970208984024
State	Published - Jun 2002
Externally published	Yes

Keywords

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

Publisher link

10.1080/10511970208984024

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KW - Divergence

KW - Euler

KW - Eulerian numbers

KW - Infinite series

KW - Ratio test

KW - Recurrence

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Beyond mere convergence

Abstract

Keywords

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