https://orcid.org/0000-0002-8985-1025
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Summary
A straightforward, geometric perspective allows students in a typical calculus course that covers p-series to understand an important gateway to analysis: the mystery of why some p-series converge and other, seemingly very similar p-series, diverge. In the process, we even arrive at some more advanced bounds for convergent p-series, previously published in this Journal in 2005 by Y. Hansheng and B. Lu.
Acknowledgments
No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
Gregory Stodolsky
Gregory Stodolsky ([email protected]) attended UC Berkeley in mathematics and holds a licence de math, mention bien (magna cum laude), from Jussieux, Paris 7, Sorbonne. He works in mathematics education, including as a private teacher and exam tutor as part of his own business and school-math reform project. His mathematical YouTube channel is @mathbump9647.