Originally Posted by

**asdfmaster** thanks everyone!

That's what I assumed...but wasn't totally sure.

So what everyone is saying is that when a function appears to approach infinity, the limit does not exist???

So whenever you say the limit of a function is infinity, you are actually saying that the limit **does not exist**, but a convenient way to express that the limit does not exist is to write $\displaystyle \lim_{x \rightarrow a} f(x) = \infty$??

I'm just wondering, in **every instance of finding a limit that exists**, if the demoninator will approach zero, will numerator **always** approach zero too?