- #1

- 8

- 0

For arbitrary N >= 1

Let g(n) = f(n)^2

G(1) and g(2) end in 8

By linear relation all g(n) end in 8

Assume 0.999... = 1

0.999... X 0.999... must end in 8 per (4)

1 x 1 does not end in 8

By (5),(6),(7), contradiction

Therefore 0.999... = 1 is a contradiction