What do you have to say about this, Veeky Forums?

# What do you have to say about this, Veeky Forums?

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Trivially true

wikipedia says so, therefore it must be true!

If that is true than an infinite universe means God exists

This is a boring thread. We have it daily and it always unequivocally devolves into wildburger posting. Stop it.

number theory is for fuckin nerds desu

wikipedia

Anyone can edit that.

a convergent series equals it's limit

An engineer wrote that. 0.999999999999999999 meters = 1 meter in real life and anyone who says otherwise is just trying too hard to be correct and/or funny.

Pure math wise, this guy has the right idea.

0.999... = 0.999...

10(0.999...) = 10(0.999...)

10(0.999...) = 9.999...

10(0.999...) = 9 + 0.999...

9(0.999...) = 9

0.999... = 1

No one actually bothers to read the article which shows proofs

what are equivalence classes of cauchy sequences

What the fuck is this shit. Why would I want "cults", "infanticide", "preemptive penal organ harvesting", or "Sacred whores".

How is Matt. VII. xix "omnis arbor quae non facit fructum bonum exciditur et in ignem mittitur" relevant?

retards can't accept not all reals have unique decimal representation

Don't bother, people arguing about this topic don't even know what a real number is.

prove that 10(0.999....)=9.999...

It's it's true, then you should be able to prove 0.999 = 1 in base 2 or in base 6 number systems. I suspect any proof wouldn't work in any number system other than base10.

sure thing

[eqn]0.\overline{1}_2=\sum_{1}^{\infty}\frac{1}{2^N}=\frac{1}{2}*\sum_{0}^{\infty}\frac{1}{2^N}=\frac{\frac{1}{2}}{1-\frac{1}{2}}=1\\

0.\overline{5}_6=\sum_{1}^{\infty}\frac{5}{6^N}=\frac{5}{6}*\sum_{0}^{\infty}\frac{1}{6^N}=\frac{\frac{5}{6}}{1-\frac{1}{6}}=1[/eqn]

10(0.999...) = 10(9/10+9/100+9/1000+...) = 9+9/10+9/100... = 9.999...

and generally

[eqn]x\in\mathbb{N}\backslash\{0\}\\

0.\overline{(x-1)}_x

=\sum_{1}^{N}\frac{(x-1)}{x}

=\frac{(x-1)}{x}\sum_{0}^{N}\frac{1}{x}

=\frac{\frac{(x-1)}{x}}{1-\frac{1}{x}}

=\frac{\frac{(x-1)}{x}}{\frac{x}{x}-\frac{1}{x}}

=\frac{\frac{(x-1)}{x}}{\frac{x-1}{x}}

=1[/eqn]

it's always bugged the fuck out of me that the image isn't logarithmically scaled

it just goes to show that math can be a fraud, and we all know that

magical "logic tricks" that are not true, yet, "the proofs!" are "given"

close enough for government work

math can be a fraud

how is it fraudulent?

calculus is evidence of God

whoops

that first line should be

[eqn]x\in\mathbb{N}\backslash\{0,1\}[/eqn]