1. The problem statement, all variables and given/known data Given a continuous function f(x):R->R with lim(f(x)/x^2)=0, x-->+-infinity Show that then an element t exist such that: x^2+f(x)>=t^2+f(t) for every x in R. 2. Relevant equations -> The mathematical definition of continuous and limes (but I really don't know if these are needed) 3. The attempt at a solution I really thought hours on that problem but didn't find a solution. I've no really good attempt. Well, I know that f(x) has to increase less rapidly than x^2 accordint to lim(f(x)/x^2)=0, x-->+-infinity.