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This is an old revision of this page, as edited by BradBeattie (talk | contribs) at 20:37, 6 May 2005 (response). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

I created this page in response to two threads I saw and the confusion that arose. Figured it was something worth noting. --BradBeattie 18:58, 6 May 2005 (UTC)

I think you are right. I submitted it first for deletion because the title looked a bit misleading. This is not a series of nines, the series is if you wish of

${\displaystyle {\frac {9}{10^{n}}}}$

Cheers, Oleg Alexandrov 19:01, 6 May 2005 (UTC)

True, the title was a little slap-dash. Thanks for the improvement. --BradBeattie 19:03, 6 May 2005 (UTC)

"In mathematics, one could easily fall in the trap of thinking that while 0.999... is certainly close to 1, nevertheless the two are not equal. Here's a proof that they actually are."

0,999... is irrational and so is the article. Basis on "the proof" that 0.9999...=1 one could argue that irrational is rational which is simply jargon.

How about ${\displaystyle {\frac {999\ldots }{1000\ldots }}}$? Might want to take a look at limits. --BradBeattie 20:16, 6 May 2005 (UTC)

If 0.999... is 1 then the whole basis of mathematics should be re-written. Mathematics is considered to be exact science. If 0.999... was EXACT 1 then it would not make any difference to say exempli gratia (for example) that domain is same than [0,1[ or 0.000...0001 is 0 which is the basis of differential calculus. One should not confuse the concept of irrationality with the concept rationality, or infinity with finity, or inexact with exact.

Could you please prove your statement "If 0.999... was EXACT 1 then it would not make any difference to say exempli gratia (for example) that domain is same than [0,1[ or 0.000...0001 is 0 which is the basis of differential calculus."? This page has a proof as to why 0.999~ = 1. Please provide your counter-proof.