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Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: =?UTF-8?B?QW5kcsOpIEcuIElzYWFr?= <agisaak@gm.invalid> Newsgroups: comp.theory Subject: =?UTF-8?Q?Re=3A_Definition_of_real_number_=E2=84=9D_--infinitesimal?= =?UTF-8?Q?--?= Date: Mon, 1 Apr 2024 15:03:23 -0600 Organization: Christians and Atheists United Against Creeping Agnosticism Lines: 13 Message-ID: <uuf7es$2n4mp$1@dont-email.me> References: <bebe16f4f02eed7ac4e4d815dc0e1e98f9f0f2a0.camel@gmail.com> <uu573n$3tt5t$7@dont-email.me> <uu58nh$3ca7j$2@i2pn2.org> <uu59t9$3ubje$2@dont-email.me> <8734s9u2tl.fsf@nosuchdomain.example.com> <uu5dqp$2tti$2@dont-email.me> <uu6ep9$3dq4u$4@i2pn2.org> <uu6npg$ceq1$1@dont-email.me> <uu79db$gdqk$1@dont-email.me> <875xx4sh0h.fsf@nosuchdomain.example.com> <uu7osb$k31e$1@dont-email.me> <87sf08qzt5.fsf@nosuchdomain.example.com> <uu7q21$k72e$1@dont-email.me> <uu8vf8$vsq2$1@dont-email.me> <uu95mr$114hv$5@dont-email.me> <uu9q43$16c9d$2@dont-email.me> <uu9qqn$16gt9$1@dont-email.me> <uu9s39$16gks$1@dont-email.me> <uu9sj2$16rdo$1@dont-email.me> <uucbe9$1utsv$2@dont-email.me> <uucc0e$1v1p5$1@dont-email.me> <uucdd7$1v8hd$1@dont-email.me> <uucec3$1vh78$1@dont-email.me> <uudnt6$2bun2$1@dont-email.me> <uuegit$2hjc8$1@dont-email.me> <uuev15$2l64e$2@dont-email.me> <uuevt5$2laff$1@dont-email.me> <uuf2ei$2lvoc$2@dont-email.me> <uuf5h7$2mm4i$1@dont-email.me> <uuf789$2n450$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 01 Apr 2024 21:03:24 +0200 (CEST) Injection-Info: dont-email.me; posting-host="2e2393b8e41aa9b8f93a15f48e804533"; logging-data="2855641"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+Bw0HhQls6T68WLfrOXiK1" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:6FWymDaOXhGJdQeTJ4NyKgBl3zI= In-Reply-To: <uuf789$2n450$1@dont-email.me> Content-Language: en-US Bytes: 2445 On 2024-04-01 14:59, André G. Isaak wrote: > π/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11... > > For any *finite* number of terms, the above series never quite reaches > pi, but the LIMIT of this series is exactly equal to pi. Obviously, I mean the limit is exactly equal to π/4. -- To email remove 'invalid' & replace 'gm' with well known Google mail service.