I found a flaw in math. It doesn't work.
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I found a flaw in math. It doesn't work.
>>8008911
y=9+90+900+9000+....
y=9+10y
y=-1
>yfw you realize this is how complement math works
>>8008911
>Doing arithmetic with undefined objects
sage
>>8008911
Thank you for your submission. Other users have reported the same bug, and our developers are working to resolve the issue in time for the next patch. We apologize for any inconvenience. Thank you for using math.
What if you define that y is series which contains only whole numbers?
>>8008911
Oh, wow, son. You're playing about with non-convergent series and wondering why you're getting nonsense answers?
"..." is not a number and you can't do arithmetic with it.
>>8008911
>le multiply and subtract infinity meme
fuck off
y=1+2y
=1+2(1+2y)
=1+2(1+2(1+2y))
=1+2(1+2(1+2...)))
= 1+ sum[i=0...infinity] 2^n
so
sum[i=0...infinity] 2^n = -2
>>8008911
>hey guys look at me treat this divergent series like it was all a bunch of constants
>what the fug math is so retarded why is this -1 :DDD
>>8009010
top qual
>>8009010
ベイトーです~!
>>8008911
It doesn't work because y represents a divergent series. You can't handle them just as if they were finite numbers.
>>8008911
Congratulations you have found the analytic continuation of the sum [math]\sum_{n=0}^\infty x^n[/math] evaluated x=2, by representing it as the solution for S to the equation [math]S = 1 + x S[/math] which agrees everywhere with the original series for |x|<1 but is also defined for |x|>1.
