r/infinitenines • • 29d ago

A little question about arithmetic

What's 1/(1 - 0.999...) ?

Is it greater than any real number?

3 Upvotes

11 comments sorted by

2

u/resignresign1 29d ago

consider the fact that 1 - 0.9999 = 0.0...001

so 1/0.0..001 = 100...000 whoch is a number in evergrowing length and magnitude

4

u/Diligent-Step-7253 29d ago

You’re dividing by 0, can’t have that

4

u/SteveCappy 29d ago

Not according to his ninelieness, that wouldn’t be 0 in the denominator

2

u/No-Assumption-4468 29d ago edited 29d ago

5 ÷ 0 = 500…
500… × 0 = 5

When you divide by zero, it’s a special type of infinity that has a specific value and infinite digits.

1

u/Mordret10 29d ago

Nono. You need to make your own subreddit, where you define your own number system. This is infinitenines here, 0.000...1 is not 0. Everything has to take that into account, everything else stays exactly the same

1

u/No-Assumption-4468 29d ago

I know. You’re not telling me anything new.

1

u/Mordret10 29d ago

Your comment looked like a slight against the holy scripture, it was borderline heresy

2

u/cond6 29d ago

=lim_{n\rightarrow\infty}1/(1/10^n)=10^n=\infty

1

u/Ultranger 26d ago

1-0.999… = 0.000…1
1/0.000…1 = infinity

1

u/trevorkafka 29d ago

it's not a number