Well /sci/, what is it?
A bait thread.
Why are people shocked that it equals 1?
>>8274750
3 * 1/3
Because it can be treated like an infinite geometric series where a1/1-r =1. Where r is the common ratio.
[math] \displaystyle
1 = \frac {3}{3} = 3 \cdot \frac {1}{3} = 3 \cdot 0.333... = 0.999...
[/math]
>>8274776
>>8274760
Because it doesn't look like what they think "1" is. They picture 1 as something that has concrete, almost physical bounds and that can't be "infinite." I also don't think they really understand what geometric series are.
>>8274750
It's George lucas way of writing 1
>>8274760
Because it doesn't.
>>8274750
x=0.999999……
->1000x-x =999.99999…...-0.999999……=999
->1000x-x =999x
999x=999
x=1
It does not equal 1, it tends to 1. Is this highschool all over again ?
>>8274750
[eqn]0.\overline{9} = \sum_{k=1}^{\infty}(\frac{9}{10})^k= \lim_{n\to \infty}(1-(\frac{1}{10})^n) =1[/eqn]
>>8275016
fix those brackets with \left( ... \right) pls
>>8275020
[eqn]\left\text{You}\right[/eqn]
>>8275010
No. It's equal to 1. The symbol 0.999... *represents* the limit of the series S_n = 9/10 + ... + (9/10)^n, which is 1.
>>8275036
[math] \left ( 4U \right ) [/math]
>>8274785
is it wrong though?!
>>8275191
only if you assume 1/3 isn't 0.333...
>>8275256
is it?