Be okay with small steps, as the harmonic series grows without bound
“Be okay with small steps, as the harmonic series grows without bound” considers the question: if each term in the infinite sum represented a day or a fraction of a day you live, would you live forever? That is, does the harmonic series—an infinite sum in which you start with a 1 and then continue adding the reciprocals of increasingly positive integers—grow without bound? The discussion is illustrated with hand-drawn sketches. Mathematics students and enthusiasts are encouraged to appreciate that small steps in mathematical and life pursuits may accumulate, leading to progress over time. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.
1965 ◽
Vol 5
(3)
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pp. 325-330
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1998 ◽
Vol 62
(11)
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pp. 934-937
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1988 ◽
Vol 19
(3)
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pp. 251-258
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2020 ◽
Vol 29
(1S)
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pp. 412-424
2008 ◽
Vol 18
(2)
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pp. 87-98
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2008 ◽
Vol 2008
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pp. 200
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