.999999 = 1

>0 is a digit, not a number
wow time to die

>when your math are actual shit
T.brainlet
1/3 ≈ 0.333...

the three little dots imply infinite recurrence

get out of here with your mathematical semantics or prove that 1/3 != .333...

>yes it does, two different things can not be equal

literally f(x) != g(y)

lmao, just end it you fucking brainlet

>not understanding the concept of infinity

It's okay that you have a hard time with your intro proofing class, we can help you on the way.

1. Assume .999... is different from 1
2. conclude that the difference of the two is strictly positive
3. construct a number of the form 0.000 ... 1 ... 000... that is strictly smaller than the difference
4. conclude that subtracting this number from 1 gives you a number that is smaller than .999...
5. explain why this is contradicting with the fact that we view the reals as a (complete) totally ordered field
6. conclude that .999... must logically equal 1

Good luck. If any step causes you trouble feel free to ask for more help, you could also visit your professor during office hours.

Plebs don't understand 1/3 can't be represented in base 10.
Literally primary school math level

.999...8=.999...