1. The problem statement, all variables and given/known data Proof of product of limits of f(x) and g(x). In terms of epsilon-delta. 2. Relevant equations See below. 3. The attempt at a solution I am familiar with a slightly different proof, and was wondering if this was also valid, even if not as eloquent. My thoughts were that because I could express epsilon in terms of only other constants, it could work. But alas, I am new to the idea of these proofs and have doubts about what I did. My work is pictured below. http://img833.imageshack.us/img833/4452/img7308.jpg [Broken] ^^ just click on the link. I apologize, but I couldn't resize and if I posted the actual image it would've distorted the thread appearance. Thank you in advance for any help.