I will attempt, however erroneously it may be, that the value of .999... doesn't exist at all!

1/9 = .111...

(1/9)*(9/1) = 1

.999...=.111...*9

.999...=(1/9)*(9/9)=1

This is yet another occurence where the English Language fails us. I'm not sure that it can be explained perfectly in any language. We can agree that .999... is definitely .111...*9. But it is actually 1. So .999... does not exist, because infinity is a concept, not a value or measure.