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

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

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**sites.math.rutgers.edu**

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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.

trivially false**sites.math.rutgers.edu**

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]