0.999... = 1 (?)

This thread is full of people who don't know pomegranate about math. How can you read an entire page with like 20 proofs of one concept and still argue with it? This isn't even a debate. It's not "the theory of" anything, 0.9 repeating and 1 are just mathematically the same number and there is no way to dispute that.

There IS a way to dispute it. Whether you want to accept it or not. Just like there's proof of 0.999... = 1, there's proof that 0.999... =/= 1. Point is: don't go around bashing other people like this is your religion.

Proof below:

Take these two definitions:

1 = lim (1 + 1/x) as x approaches infinity
1 = lim (1 - 1/x) as x approaches infinity

Then:

lim (1 + 1/x) as x approaches infinity - lim (1 - 1/x) as x approaches infinity
= lim (2/x as x) approaches infinity
= 0.

This is generally accepted by mathematicians.

But what happens when you repeat this process infinite times? (This is elaborated by my post below.)
What you end up with is the following:

1 = lim (1 - x/x) as x approaches infinity
1 = lim ((x-x)/x) as x approaches infinity
1 = lim (0/x) as x approaches infinity
1 = 0 ?

Since that is impossible, 1/x accounts for something, and 1 =/= 0.999...


I voted for yes by the way.