Find a number that fits between 0.999... and 1.
Find a number that fits between 0.999... and 1
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OP's penis size.
0.9999
0.9991
0.999909
...
it's repeating, but cannot be one. Therefor it's everything and nothing
∞
0.9999...1/2
0.9... +i1
...
no its right
youtube.com
0.000...n...0001
1/3 * 3 = 1
.333... * 3 = .999...
1/3 = .333...
{ }, because 0.99999... = 1
it's a blowout OP, you can cease your repetitive posting of this thread now
...
okay but can you prove that 0 and 1 are not the same number?
if 0.999... = 1, then does 1 = 1.000...1?
>proof by induction
That proof is bullshit. It would work with any number.
Because then after infinite steps, 1 = 4.999...
1 = 5
are you retarded? just because a number follows another number doesn't mean they are equal. It's like saying that 1=2 in the integer set.
(0.9999... / 2) + 0.999....
0.999... = Sum {n=1}{inf} 9 * 0.1^n
for There to bei a Nummer x with 1 > x > 0.999... , There needs to exist real Nummers a and b with a>0 , b>0 and 0.999... + a = x and x + b = 1.
Thus a+b = 1 - Sum {n=1}{inf} 9 * 0.1^n = Fac {n=1}{inf} 0.1 . As a+b > 0 There is a m > 0 with Fac {n=1}{m} 0.1 < a+b. And Fac {n=1}{m} 0.1 > Fac {n=1}{inf} 0.1 . Therefore a+b > Fac {n=1}{inf} 0.1. This is a contradiction therefore it is impissible. QED
1-0.999.../2
appropriate notation for rational numbers:
(1/3) + (1/3) + (1/3) = (3/3) = fucking 1
unappropriate notation for rational numbers :
0,33333.. + 0,33333.. + 0,33333.. = still fucking 1
0.999999... =/= 1 als long as post decimal positions are NOT infinite.
thats it. no inconsistency, no discussion. its definite.
is there a number between 1 and 1?
if so prove. if not prove.
I know answer see if Sup Forums is smart enoug
This is prove that there isn't one
Easy. After the very last 9, add a 5.
There is no last retard
can't deny a full house
I know. I just wanted to make you mad.
normalfag
That is actually an axiom, so it can't be proven
0.999... < 1
therefore 0.9999 =! 1
done.
Let x = .999 recurring, and let y = 1
Then let z = (x+y)/2
If x = y (which it does), then x = z = y. But if x < y, then z fits between them. Either way, z fits in.
1/∞
_
0.95
1/infinity is 0 (or as close to 0 as you can get), which is less than 0.99... so does not fit between the two.
(1 + 0.999....)/2
how is this hard easy
Except that 0.999... < 1 is a false premise, because there is no number between them.
Continuity is defined thusly:
∀x,y | x < y, ∃z. x < z < y.
Which mean that if there is no z, x >= y.
no you retard
are you stupid? They all fit between .9 and 1
you can't because 0.999... = 1
Can't you see the fucking vinculum you fucking retard
Subtracting different numbers from eaxh side of the equation is an illegal operation.
Dude, I'm telling you. It doesn't matter what they put above the 9, there's plenty of space to throw whatever numbers you want between them. Hell I could probably put a swastika between them if I wanted to.
Chill your fucking tits m8
It means 0.999... up to infinity. Which mean that you can't put any number between them. Here is a simple demonstration:
Let x = 0.9999999...
10x = 9.99999...
10x - x = 9.99999... - 0.99999...
9x = 9
x = 1
See?
I can't tell if I'm being trolled, or if you're honestly this fucking oblivious.
I was making a joke dude, and I tried my damnest to make it as apparent as possible.
I'm just that fucking oblivious.
This is actually not an axiom.
Axioms are either peano's axioms, or ZFC axioms
there you go OP
OP's IQ
>no
>doesn't explain why
cuck
>Axioms are either peano's axioms, or ZFC axioms
>either
>or
If you actually think that all of mathematics is based on these two axioms, you're retarded.
Underrated
0.999... < 0.999... + 1/inf < 1
1/3 = 0.333...
3/3 = 0.999...
3/3 = 1
1 / 10^n
That's incorrect usage of algebra, but nice try dude.
From what ass did you get 4.999... I'm first place? Elaborate.
1-(1-.999...)/2
1 - (1 - .999...)/2 = 1 - 0/2 = 1
Well if 0.999... = 1, then isn't it possible that 1 = 1.000...1, then 1.000...1 = 1.000...2 which is also 1 = 1.000...2
Then you repeat that infinite amount of times and you'll get to 1 = 1.999...
And yeah
How can there be a number after an infinite amount of zeros?
Mathfags fuck off already
are you retard?