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Path: ...!feeds.phibee-telecom.net!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: =?UTF-8?Q?Re=3A_There_is_a_first/smallest_integer_=28in_M=C3=BCcken?= =?UTF-8?Q?land=29?= Date: Wed, 17 Jul 2024 14:37:47 -0700 Organization: A noiseless patient Spider Lines: 15 Message-ID: <v79djc$20dvt$9@dont-email.me> References: <v78aei$1qhrg$2@dont-email.me> <iez0JhnP5QUwPTJ47oubeE1Aq5M@jntp> <v78m28$1sk3g$1@dont-email.me> <7mXj2D8kEhAscu3HLTqTUKsaj18@jntp> <d9b0dacd61b979099d931df69cf76c214d690d39@i2pn2.org> <v797a1$1vn4s$5@dont-email.me> <Y6qrg9UEy_5tuojJ3_6x9Hx6bDE@jntp> <v79c9f$20dvt$6@dont-email.me> <KTsnjdEN7Mca14ysonQd0bhO2SM@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 17 Jul 2024 23:37:48 +0200 (CEST) Injection-Info: dont-email.me; posting-host="3f8b7cebb49a7a47651d12f9ce849b53"; logging-data="2111485"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+bAMeYF5GRpgVvE6B47nxBRBAUjY6M/lI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:m4e2Y+/9p5W8bJkcZnAE/y96lck= In-Reply-To: <KTsnjdEN7Mca14ysonQd0bhO2SM@jntp> Content-Language: en-US Bytes: 1895 On 7/17/2024 2:20 PM, WM wrote: > Le 17/07/2024 à 23:15, "Chris M. Thomasson" a écrit : >> >> Is that better, WM? > > No. The question is: How does NUF(x) increase from 0 to more? There is a > point where NUF is 0 and then it increases. How? There is ALWAYS a gap between ANY unit fraction and zero. This is because any unit fraction does not equal zero. The limit is just what it tends to, not the actual results of the individual iterates, so to speak.