0.999... + 0.999 = 1.888

1+2+3+4+5+....=inf
1+2+3+4+5+....=-1/12
inf+inf+inf+inf....=inf
(-1/12)+(-1/12)+(-1/12)+....=-inf
inf=-1/12
inf=-inf
Damn.

dam

Yui is a retard

...

0.999...
0.999
---------
0.888999...
1.11
-------
1.998999... (Which is equivalent to 1.999)

Learn how to do left to right addition properly.

brainlet

Wrong.

>0.999... + 0.999 = 1.888...

ayyy

All of these lines are equal:

[eqn]0.999... + 0.999... = [/eqn]
[eqn][0.9+0.9] + [0.09+0.09] + [0.009+0.009] + ...[/eqn]
[eqn]1.8 + 0.18 + 0.018 + 0.0018 + ...[/eqn]
[eqn]1.0 + 0.8 + 0.10 + 0.08 + 0.010 + 0.008 + ...[/eqn]
[eqn]1.0 + [0.8 + 0.10] + [0.08 + 0.010] + [0.008+ ...[/eqn]
[eqn]1.0 + [0.9] + [0.09] + [0.009] + ...[/eqn]
[eqn]1.9999...[/eqn]

>comes on anime site
>complains about anime
you have a very low IQ. please leave.

I have always known that Yuifags are retard.

and which theorem says you can rearrange your series like that?

it looks pretty clear to me
[eqn] 0.999...+0.999...=9\left(\sum_{n>0}10^{-n}+\sum_{n>0}10^{-n}\right)=9\sum_{n>0}(10^{-n}+10^{-n}))=18\sum_{n>0}10^{-n}=1.888... [/eqn]

Please stop ruining the image of my girl Yui! She is not dumb. Please stop it OP.

The series always converges, no matter what. So I can rearrange it all I want. Go ahead, check it if you don't believe me.

Riemann’s rearrangement theorem only applies to conditionally convergent series.

> [math] 18 \sum_{n=1}^{∞} 10^{-n} =1.888...[/math]

I think he trollin...

[eqn] 18 \sum_{n=1}^{∞} 10^{-n} = 18 (0.1 + 0.01 + 0.001 +...) = [/eqn]
[eqn]1.8 + 0.18 + 0.018 + ... = 1.999...[/eqn]

Ritsu is best girl anyways

The associative property of addition, you mean?

not sure if this is autism or anti-autism

dumb anime poster

/thread

You actual brainlet. sage.