1. The problem statement, all variables and given/known data This is my first delt/epsilon proof ever, so please understand if I seem ignorant. e=epsilon d = delta Let f(x) = 1/x for x>0 If e is any positive quantity, find a positive number d, which is such that: if 0 < |x-2| < d, then |f(x) - 1/2| < e 2. Relevant equations I don't really know of any :s 3. The attempt at a solution |1/x - 1/2| < e |2/x - 1| < 2e |x/2 - 1| > 1/2e |x - 2| > 1/e and |x-2| < d Therefore, 1/e < d Is this sufficient? It says find a positive d, and I've only come up with an inequality with respect to e. Again, this is my first ever d/e proofs, so if I've overlooked some tremendously obvious error, I'm sorry.