What do you have to say about this, Veeky Forums?
What do you have to say about this, Veeky Forums?
Other urls found in this thread:
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]