1. The problem statement, all variables and given/known data Find the function that (x^n)/(1 + x^n) converges to as n goes to infinity, on the interval [0,2] 2. Relevant equations 3. The attempt at a solution I've worked out the fact that on the interval [0,1) it converges to 0, and when x is 1 it converges to 1/2, but for the life of me I'm not sure what the first step of proving what it converges to on the (1,2] interval. hints?