0.9999...8 and 0.999... cannot both be 1.

No.11947555 ViewReplyOriginalReport
0.999...8 (an infinite number of nines with an 8 in the end) is clearly not equal to 0.999... , since 8 is not equal to 9. Therefore it must be the case that either of the two are not equal to 1. Pigeonhole principle.