0.9999.... = 1.0

[drkohler]

fordy said:

drkohler said:

fordy said:

Rule 1: x/x = 1
Rule 2: 0/x = 0

In which case, which rule applies to 0/0?

No rule at all. 0/0 is an indeterminate number. Or are you talking about limes x->0?

Exactly my point. Special rules apply to 0 and Infinite, that set them apart from other numbers.

lim y -> 0 : x/y -> Infinite. That's a another rule that this could apply to. What would 0/0 approach as the denominator approaches 0?

I really would have to dig out my old math lecture notes to be sure. I'd guess Hopital rule could apply to Rule 2 so lim x->0  0/x = 0