lol i missed Alphanos' first post.

In order to perform said operation, you would require infinite computational power, since x is effectively infinitely difficult to calculate at all, let alone work with.
I think you misunderstood me. i am not trying to calculate x. what i am trying to say is that there isn't a real number that can be considered the largest number less than 1 (proven by contradiction).

here is the proof again:

assume x is the largest real number less than 1
so the average of x and 1 (1+x)/2 is greater than x but less than 1
this contradictions with the assumption
so there isn't a largest real number less than 1


but since 0.9 repeating is considered the largest real number less than 1 (since its physically not possible to write another another number that's greater than 0.9 repeating), then this belief also contradicts with the fact that there are no largest real thats less than 1. so i am concluding that 0.9 repeating is not less than 1 (proven again by contradiction). -- although this doesn't mean that 0.9 repeating is 1, but at least it's not less than 1