if it was equal it would be 1, it is not 1 it is .99999....\

using that logic you would state there is no intelligent life in the universe, cuz we are the .000000....1 and counting, SO FAR

This post was edited by yupitsmeh on Jan 3 2015 08:36pm

it's a function. it works just fine.

not sure if trolling or srs. if srs, yes it's one. you can prove it many ways. this is probably the easiest way:

0.9... = n
0.3... + 0.3.... + 0.3... = n
1/3 + 1/3 + 1/3 = n
3 / 3 = n
1 = n

its been awhile but isnt it a infinite geometric series

This post was edited by yupitsmeh on Jan 3 2015 08:43pm

mindfuked

You can't use as a given the .9 = n

Because .99999999999999999999999999999999999999999999999..... does NOT = .9



/e ....and you can't use 3's of any kind at all, in a clock made of 9's, or in a proof that .99999999999999999999999999999999.... = 1


yes, it's true that 1/3 + 1/3 +1/3 =1 ...but ONLY if you leave them in fractional form. If you work out 1/3 it = .3333333333333333333333333..... which still leaves us with the same issue x approaching 1, but never getting there.

This post was edited by Ghot on Jan 3 2015 08:48pm

infinite* yes.

.999... = 9/10 + 9/100 + 9/1000 + 9* 1/10^i
= sum ( 9*1/10^i)

using sum = ar/(1-r):
= 9*(1/10) / (1 - 1/10)
= (9/10) / (9/10)
= 1

i used .9.... where the ... at the end meant repeating. also, i'm letting n represent 0.9 repeating. sorry about the notation.

0.3... [0.3 repeating] is EXACTLY equal to 1/3, as well. it's just difficult to represent using the base 10 model. you can use base 3 if you'd like. in which case 1/3 + 1/3 + 1/3 is 0.1 + 0.1 + 0.1 = 1.0

if you don't like this proof, i can prove it in other ways as well. but i dont feel like it at the moment, so i'll just link you to a wiki article with a few proofs instead.

http://en.wikipedia.org/wiki/0.999...

This post was edited by carteblanche on Jan 3 2015 08:56pm

First off Wikipedia doesn't have a degree in Math....2nd off, here's the clock fixed....







This post was edited by Ghot on Jan 3 2015 08:58pm

so the sum of all natural numbers is -1/12?