Author Topic: .99999999 infinity = 1?  (Read 11324 times)

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Offline mar77a

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Re: .99999999 infinity = 1?
« Reply #80 on: November 06, 2006, 05:20:22 pm »
There's no such thing as 1.000~1, it's simply 1.0000~ (1) because the 1 never appears.

Offline Swarmer

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Re: .99999999 infinity = 1?
« Reply #81 on: November 06, 2006, 08:03:34 pm »

EDIT: Hmmmmm, does 1.000~1 = 1 ?
>_>

Well, you can't really have a .000~1.  If the zeros go on infinitely there's no "end" to put the 1 on.  Think of it as 1/(10^x), with x getting bigger and bigger towards infinity.
x = 1:   1/10 = .1
x = 2:   1/100 = .01
x = 3:   1/1000 = .001
etc.
And for .000~1 you need x to be infinity.  However, infinity is not a number.  You have to take the limit as x goes to infinity.  The limit of 1/(10^x) as x goes to infinity equals zero.  So .000~1 equals zero.

So yes, 1.000~1 equals 1, but .000~1 isn't really conventional.

Offline VijchtiDoodah

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Re: .99999999 infinity = 1?
« Reply #82 on: November 06, 2006, 09:48:45 pm »
Swarmer's on the right track, but it's much easier to write it as 1 + 1/(10^x).  As x → ∞, 1 + 1/(10^x) → 1.

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Offline John The Engineer

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Re: .99999999 infinity = 1?
« Reply #83 on: November 06, 2006, 09:55:00 pm »
Meh... it's close enough :P

Offline Omri143

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Re: .99999999 infinity = 1?
« Reply #84 on: November 06, 2006, 10:05:38 pm »
<3 Math

Offline Camping_carl

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Re: .99999999 infinity = 1?
« Reply #85 on: November 10, 2006, 05:00:55 am »
... so should i take how many of you said its 1.. and add them up and how many of you said it isnt an who ever has the most wins?


or is there real proof of something because all those numbers are confusing the heck out of me.
  my mofo made this beautiful piece of art.

Offline The Red Guy

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Re: .99999999 infinity = 1?
« Reply #86 on: November 10, 2006, 05:53:58 am »
... so should i take how many of you said its 1.. and add them up and how many of you said it isnt an who ever has the most wins?


or is there real proof of something because all those numbers are confusing the heck out of me.
Gotta love math. ;)