In another thread it was stated that an infinite number of zeros is undefined - different equations could make this value be any number you wanted. It was also stated that multiplying a number by infinity was meaningless, and inf/inf is NOT one, but also undefined. How then is it possible for an infinite number of .3's to equal 1/3, or indeed any real number? Wouldn't an infinite number of positive values invariably equal infinity? Also, by definition, adding an extra 3 to a finite string of 3s would never result in 1/3, so why would repeating a failed process an infinite number of times result in a success?