1. The problem statement, all variables and given/known data Find limit x->0 (f(x))g(x). Here limit x->0 f(x) = 1 and limit x->0 g(x) = ∞ 2. Relevant equations I know that limit x->0 (1 + x)1/x = e ... (1) 3. The attempt at a solution I have the answer which is elimit x->0 (f(x) - 1) * g(x) But I don't know how to proceed. I have to somehow use equation (1) but how?