0.(9) and 1

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I'm seriously getting really sick of this fucking shit.

The limit isn't unobtainable.

Fuck off nigger

Why would you think that we "need to obtain" the limit? That's not the point. The point is that a limit, by (the epsilon-delta) definition, is the number that we never reach, but that we can get any distance Epsilon>0 close to. We can determine what that limit is, even if that particular procedure never reaches it. We simply define that, within the real numbers, 0.999... = 1 because (assuming this wouldn't be the definition) the difference is by this definition of a limit infinitely small, and there is no real number (note the axiom of completeness) that 0.999... could correspond to by this definition apart from 1.

>putting your name under it

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Lmao, this fucking retard

Prove it wrong, brainlet.
Protip: you can't

t. Kirill

1 = 0.9 + 1/10
1 = 0.99 + 1/100
1 = 0.999 + 1/1000

When will 0.999... + 1/10... not equal 1?
Never!

Yup, arbitrary number of 9s after the decimal place will never equal 1

in the end 1 = 0.9... + 1/inf = 0.9... + 0 = 0.9...

actual retard

1/inf = 1/Apple = 0?
Are you adequate?

>0.999... = (x-1)/x
You are actually retarded. The only way this is true is if x is infinity, and infinity/infinity is indeterminate

>cannot multiply 10 by 0.999... because the multiplication process will never finish
Haha

Any good fillters to auto hide these threads?

blablabla and 0.(9) ≠ 1

Why you gotta be such a nigger, nigger

1) x never reaches infinity.
2) x - 1 is always < x

lmao, this retard is serious, thought you were trolling
kill yourself my man

Have you heard of a limit, you dumbfuck? 0.999... is not equal to (x-1)/x

If infinity is attainable:
(inf -1) /inf = (noninf - 1) /inf
and (noninf - 1) < inf

But infinity is unattainable.

BREAKING NEWS:
dumb slav is a dumb slav

What is your level of education?

= of course, read my work

He's not, he just spams these all the time and think he's some master troll

Without discrimination, please.
All people are equal.

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you are wrong.

desu in my opinion your argument is completely valid but why is it a big deal

>the amount of elements is a number (an integer). Infinity is not a number.
No, the number of elements is always a cardinal number, not necessarily an integer. It's the cardinal number aleph null, countable infinity.

You lose.

I'm talking about the real world in my work.
And not about schizophrenic models.

it's funny because the very first graph provides a quite elegant demonstration of what he's trying to disprove

Why do you retards keep replying to this same old bait everytime?

You could have just said ".(9) doesn't equal 1 because I don't want it to" and saved a lot of time.

You do not understand anything, just like the rest.

No, you're talking about math. All of your arguments are mathematically incorrect. You lose.

you should at least include a refutation of the rigorous proofs rather than just the informal ones

>my work

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You do not see a errors in classical mathematics.
Many professional scientists have not seen errors in classical physics.

I only see the errors you've made in high school students' homework. I don't see what mathematics and physics has to do with it.

Let's consider one of the proofs:
1/3 = 0.333...
1/3 x 3 = 0.333... x 3 = 0.999...
1/3 x 3 = 3/3 = 1
0.999... = 1

Here are the error:
1/3

You do not even try to prove your words.

real question, why are you replacing infinity with colors like a fucking massive fucking autismo

>You lose.
cringe

you don't need to actually perform the computation to know that (0.3)*2 is (0.6)

read work

we must turn the first into the second
we need the infinity of time

(if we can multiply them)

we don't need to do the computation to know the result of the function

Face it brainlet, 3*0.333... does not exist since it's impossible to compute

You can not end the process =>
=> You can not do this multiplication =>
=> Consequently, they are not equal.

There are many other computations that are impossible to perform by hand that don't involve infinity at all. Are those also impossible to derive a final value for?

Such as?

Who is saying by hand? Nothing can compute 3*0.333... since it would require infinite time

if .999... isn't a number because it is infinite does that mean that pi and e aren't numbers so can't be multiplied?

if there is a function which is impossible to compute the output value of by hand but doesn't involve infinity, we have to implicitly trust in some separately known relationship that lets us perform the calculation. if OP trusts the results of that calculation then it shouldn't matter to OP whether you have to perform every step of the computation or not.

?

0.333... does not exist in reality.
1/3 - We can not finish this process

also to expand on this are you also implying that partial fractions don't work?

...

sorry meant continued fraction

you're just dodging the question

Infinity is not a number

No one is saying by hand you fucking retard. NOTHING can compute 3(0.333...). Show me how ANYTHING can compute it

Who is saying pi or e aren't numbers? Are you pretending to be an absolute retard?

both pi and e have infinitely many decimal places following them yet somehow we can multiply and divide them just fine. This contradicts your argument as to why .99999... cannot be multiplied? Also you cannot say that .999... is infinity.
Have you ever studied math in a formal setting? (ie. not your calc 1 course)

I have already said everything, the answers to your questions are in the work and in the subject
I'm tired of repeating the same thing. This is a symptom of idiocy.

you don't need to compute it. you can just find the answer without computing it.

How do you multiply pi by 2?

How are you finding the answer?

approximately equal - is not "equal"

induction

You are wrong

We know the value of an unattainable limit. ONLY.

We do not perform multiplication, we just put the "equals" symbol.

i'm not

But multiplication is impossible.

Yes you are. See

We assume that we know.
fixed

Nevermind i suck dicks, multiplication is possible.

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