- theHurtfulTurkey
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**Devil's advocate of the Flood. My posts may or may not represent my personal opinion, I just enjoy disagreeing with people. None of my posts are representative of the official view of the Navy or any government agency.
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Posted by: Xvise66
Posted by: theHurtfulTurkey
Oh?
Undefined is a pre-calc term used to describe infinity.The limit is infinite but that says nothing about the actual function at 0/0. I can't believe you're even arguing that 0/0 is not undefined. Consider a cusp, the limit of that point may be something but we know the derivative there does not exist.
Since you want to go calculus, educate yourself
Furthermore, there is no obvious definition of 0/0 that can be derived from considering the limit of a ratio. The limit
\lim_{(a,b) \to (0,0)} {a \over b}
does not exist.
The limit from the left hand side is positive and the limit from the right hand side is negative, ergo the limit is undefined. Seriously have you taken a calculus class?
I didn't say it isn't undefined, because it is. It's infinity. Undefined is term for infinity. I'm not really sure what you're arguing; your link corroborates my claim. As for whether I've taken calc...yes, all undergraduate calculus classes for engineers. Since you're still confused, and I don't want to continue derailing this thread, I recommend you join The Academy and ask your questions there.
Posted by: Xvise66
Regardless, 0/0 is undefined. Flat out undefined, you need to do some research. Actually, 0/0 isn't undefined, it's indeterminate. As I said before, the functional limit of 0/0 (i.e., x/0 as x approaches 0), is undefined (infinity).
[Edited on 11.06.2012 11:10 PM PST]