Originally Posted by

**rtplol** Hi MHF,

I'm looking for a little help with an Epsilon Delta proof. I'm taking a deferred exam 6 months after the course ended, so I really need help here.

__The Question:__ Let f be a function defined on a set S in R^n and suppose Q is a limit point of S. If $\displaystyle \lim_{P \to Q} f(P) = 2$, prove from first principles that $\displaystyle \lim_{P \to Q} [1/f(P)] = 1/2$

__My Attempt__ By definition, we know that $\displaystyle |P-Q| < \delta ==> |f(P) - 2| < \epsilon $. Suppose $\displaystyle \epsilon ' = 1/\epsilon $

This is really all I have and understand and is probably wrong. I apologize in advance that I may have many questions in the following days as I'm slowly realize I barely understand anything from this course any more and I am truly trying but this is making no sense to me and I have no reference (Textbook was rented).

Any help would be greatly Appreciated.