Question

Does actually 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999....... is not 1

Answer 1

if \[\frac{1}{1-0.9999999...}=infinity\]
im i right?

Answer 2

It's easy to show that
1 = 0.999.... to infinity

Answer 3

it's easy too, to show
\[\sqrt(x^{2})=x\]
not absval x

Answer 4

Sarcasm? :)
If you let
x = 0.999...
Then
10x = 9.999...
10x - x = 9.999... - x
10x - x = 9.999... - 0.999...
9x = 9
x = 1
QED

:)

Answer 5

what ??