Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: =?UTF-8?B?QW5kcsOpIEcuIElzYWFr?= 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: References: <8734s9u2tl.fsf@nosuchdomain.example.com> <875xx4sh0h.fsf@nosuchdomain.example.com> <87sf08qzt5.fsf@nosuchdomain.example.com> 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: 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.