this post was submitted on 10 Aug 2023
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Okay, so does anyone wanna talk about the math thingy in the post?
They jump from 0.99999... = 1 to 0.99999... = 1 - 1 in the step where they introduce the limit, because the value of the limit they wrote is 1, not the 0 they probably thought it was. So the whole thing is a crapshoot from the start - functionally no different from setting up 1 = 1 - 1, simplifying to 1 = 0, and claiming you broke math
If it started: 0.999... = 1 - lim(1/n) then maybe we can talk, but I have no idea where 0.999... = 1 - lim(1 - 1/n) comes from, that's just incorrect
According to math 0.999=1??? Who is this guy’s math dealer?
That part's real - not for 0.999 but for 0.999... (repeating). The classic proof goes:
Let x = 0.999999...
Then multiply both sides by 10. You now have:
10x = 9.999999.....
Now subtract the first equation from the second equation. You get:
10x - x = 9.999999... - 0.999999...
9x = 9
Then divide by 9 to complete the proof:
x = 1
That’s a neat little proof, TIL.
Also 1/3 is 0.333 recurring.
So 1/3 x 3 is 0.999 recurring. But 1/3 x 3 is also 1.
No, not TIL, you're supposed to say QED 😋 just kidding
You can't find another number that fits between those 2 numbers... therefore they are the same.
Not really
https://en.m.wikipedia.org/wiki/0.999...
Seen here.