fordy said:
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? |
0/0 doesn't approach anything, it's not defined (not even by your rules because they contradict each other). As for your limit, it doesn't really make much sense for your point, I believe. If x=0, your limit is 0 by rule 2 of yours, and if x!=0, your limit is +/- infinite. I believe the limit you are trying to find is lim (x,y)->(0,0) x/y? Anyway, no solution for that limit because, well, there's no limit there.
