RE: [split] 0.999... equals 1
November 4, 2011 at 8:44 pm
(This post was last modified: November 4, 2011 at 8:58 pm by IATIA.)
Any number raised to the power of infinity is undefined. 0<x<1 raised to the power of infinity will converge and the limit is zero, but the number is not zero. Infinity + 1 or +2 or + any number still equals infinity. Any formula based on infinity deals with undefined terms, only the limit is valid, but the result is just that, a limit. The proof for the geometric series is a limit based on this undefined number, so the geometric series formula is technically invalid. And again, it is acceptable at this time until we come up with a better way to handle infinities.
Infinity+1=infinity subtract infinity from both sides 1=0 This works with any equation in one form or another, ergo, undefined.
Infinity+1=infinity subtract infinity from both sides 1=0 This works with any equation in one form or another, ergo, undefined.
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-- Homer Simpson
God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers
Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders
Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy
