Originally Posted by clickwir
That applies a limit to an infinite number, therefore making it an not infinate number. We are talking about infinate numbers being equal to 1. Which is not true.
I'm going to say this one more time...0.9repeating, which is the number in question, is an infinite construct: that is, 0.9 followed by an infinite number of 9's. We are talking about infinite sum of numbers, and the limit or infinite sum is the correct way to deal with it. It seems counterintuitive, but the math supports the conclusion.