>>10, that cannot work, as you create a series of 9's that is one shorter than you started with. Since you didn't start with infinity {as this is impossible}, you cannot multiply by 10 and keep infinity.
>>1,
"1 = 0.9999" is incorrect
Even saying "1 = 0.9999...." is incorect
It's possible saying "lim x=0.9999... = 1" is correct.