Finding sums for an infinite class of alternating series

Autor:	Xuerong Xiao, Sheng Wei, Zhibo Chen
Rok vydání:	2011
Předmět:	Power series Applied Mathematics Function series Education Combinatorics Alternating series test Alternating series Mathematics (miscellaneous) Geometric series Mathematics::Metric Geometry Grandi's series General Dirichlet series Convergent series Mathematics
Zdroj:	International Journal of Mathematical Education in Science and Technology. :1-9
ISSN:	1464-5211 0020-739X
DOI:	10.1080/0020739x.2011.622802
Popis:	Calculus II students know that many alternating series are convergent by the Alternating Series Test. However, they know few alternating series (except geometric series and some trivial ones) for which they can find the sum. In this article, we present a method that enables the students to find sums for infinitely many alternating series in the following form
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ad2c58746b97edc53443eace9726cd2b https://doi.org/10.1080/0020739x.2011.622802 Zobrazit plný text záznamu