1. The problem statement, all variables and given/known data Suppose 0 ≤ f(x) ≥ 1 for all x, find lim x→0 x^4f(x) 2. Relevant equations 3. The attempt at a solution I'm very uncertain about how to go about doing this. lim x→0 x^4 f(x) = 0^4 (0) = 0 lim x→0 x^4 f(x) = 1^4 (1) =1 How does that prove anything?