I have to confess after wracking my brains on this teaser that whilst I'm still sticking with my belief that 0.99999 (repeating) simply gets closer to equalling 1 but never reaches this number I can't discount rep'nA's argument using Zeno's paradox in failing to get from point A to point B.

rep'nA wrote:"For your argument to be correct, you are only allowed to continue the exercise a finite number of times, placing a finite number of 9's after the decimal point. As soon as you allow an infinite number of 9's, all bets are off.."

It seems my argument is logical if continued for a finite number of times but not logical when taken to an infinite number. My understanding is that an "infinite" number of times can never be reached which means 0.99999 (repeating) would never reach 1.

Cec