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My unemployed boyfriend claims he has a simple "proof" that breaks mathematics. Can anyone verify this proof? I honestly think he might be crazy. (lemmit.online)

submitted 1 year ago by bot@lemmit.online to c/nostupidquestions@lemmit.online

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The original was posted on /r/nostupidquestions by /u/Felicity_Nguyen on 2023-08-10 09:56:58.

Copying and pasting the text he sent me:

according to mathematics 0.999.... = 1

but this is false. I can prove it.

0.999.... = 1 - lim_{n-> infinity} (1 - 1/n) = 1 - 1 - lim_{n-> infinity} (1/n) = 0 - lim_{n-> infinity} (1/n) = 0 - 0 = 0.

so 0.999.... = 0 ???????

that means 0.999.... must be a "fake number" because having 0.999... existing will break the foundations of mathematics. I'm dumbfounded no one has ever realized this

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