Relaxing the integral test: A challenge for the advanced calculus student

Paul Carter, Yitzchak Elchanan Solomon

Research output: Contribution to journalArticle

Abstract

Illustrative, elementary counterexamples are hard to come by. In this note we propose an elementary, closed-form counterexample to a generalization of the classic integral test where the condition of monotonicity is relaxed. The analysis only uses techniques accessible to a second-semester calculus student.

Original languageEnglish (US)
Pages (from-to)290-291
Number of pages2
JournalCollege Mathematics Journal
Volume48
Issue number4
DOIs
StatePublished - Sep 1 2017
Externally publishedYes

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