Path: csiph.com!news.mixmin.net!eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Ben Bacarisse Newsgroups: sci.math Subject: Re: .999 repeating is almost an infinitely large sequence Date: Mon, 26 Jun 2023 14:55:13 +0100 Organization: A noiseless patient Spider Lines: 26 Message-ID: <87v8fa2uri.fsf@bsb.me.uk> References: <82dcd740-2e36-4612-a43f-6e516ffd53e9n@googlegroups.com> <87v8fb5e4l.fsf@bsb.me.uk> <87jzvr5ctl.fsf@bsb.me.uk> <87o7l33u1j.fsf@bsb.me.uk> MIME-Version: 1.0 Content-Type: text/plain Injection-Info: dont-email.me; posting-host="30bd7937b87860f973277a7390f3a6b0"; logging-data="1021144"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+TD5fDZ5b/EI2Vx56RNmXg4RfpLcsNx3E=" User-Agent: Gnus/5.13 (Gnus v5.13) Emacs/28.2 (gnu/linux) Cancel-Lock: sha1:+DuA0/eKt4ReOVGz6OiKvOIAAuU= sha1:H0iLc1WHmNdrL4UkznGagVS74Vc= X-BSB-Auth: 1.73429e2cb99709ea5b52.20230626145513BST.87v8fa2uri.fsf@bsb.me.uk Xref: csiph.com sci.math:603333 "Chris M. Thomasson" writes: > On 6/25/2023 6:13 PM, Ben Bacarisse wrote: >> "Chris M. Thomasson" writes: >>> i[0] = (floor(1/9 * 10^0) / 10^0) * 9 = 0 >>> i[1] = (floor(1/9 * 10^1) / 10^1) * 9 = .9 >>> i[2] = (floor(1/9 * 10^2) / 10^2) * 9 = .99 >>> i[3] = (floor(1/9 * 10^3) / 10^3) * 9 = .999 >>> ... >> All correct. i[n] = .(9) = 1 is not. I am not sure what the problem is >> other than you can only think in a sort of process/programming mode. > > If n is taken to infinity then it should be .9 repeating for infinity, > right? 0, .9, .99, .999, .9999, ... Why do you want someone to validate your strange wording? If you are just saying that lim_{i->oo} i[n] = 1 then you should switch to saying it correctly as a limit. If you are /not/ saying that, how can anyone agree that you are right when you won't use other words to explain what it is that you are trying to say? The whole exercises is getting more silly by the minute. -- Ben.