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Question for finitists -- 0.999... = 1?
#8
RE: Question for finitists -- 0.999... = 1?
(November 26, 2022 at 5:17 pm)polymath257 Wrote: Step 1: Prove the expression .999.... makes sense.

Otherwise, you could argue as follows:

x=1+2+4+8+16+...

2x=2+4+8+16+32+...

Hence,

x=1+2x

so

-x=1

x=-1

In particular,

1+2+4+8+... <0.

Not so, since x = 0.999... has an upper bound as the decimal expansion continues without limit, but x = 1+2+4... diverges.
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Messages In This Thread
Question for finitists -- 0.999... = 1? - by Jehanne - June 18, 2021 at 6:37 pm
RE: Question for finitists -- 0.999... = 1? - by Sal - June 19, 2021 at 5:45 am
RE: Question for finitists -- 0.999... = 1? - by Jackalope - November 26, 2022 at 7:35 pm
RE: Question for finitists -- 0.999... = 1? - by LinuxGal - November 26, 2022 at 12:21 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 5:17 pm
RE: Question for finitists -- 0.999... = 1? - by LinuxGal - November 26, 2022 at 5:54 pm
RE: Question for finitists -- 0.999... = 1? - by HappySkeptic - November 26, 2022 at 6:04 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 6:21 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 6:24 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 6:27 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 6:29 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 7:02 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 7:12 pm
RE: Question for finitists -- 0.999... = 1? - by rocinantexyz - November 26, 2022 at 7:16 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:19 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 7:41 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 8:22 pm
RE: Question for finitists -- 0.999... = 1? - by Jehanne - November 26, 2022 at 8:40 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:17 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:15 pm
RE: Question for finitists -- 0.999... = 1? - by polymath257 - November 26, 2022 at 7:22 pm

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