1. The problem statement, all variables and given/known data Find a function f(x,y) on R2 such that for each real number t, we have lim x->∞ f(x,tx) = lim y->∞ f(ty,y) = ∞, but such that f(x,y) is not coercive. 2. Relevant equations 3. The attempt at a solution I know that f(x,y) = x^2 -2xy + y^2 = (x-y)^2 is not coercive but I am not sure this function can be used in above question.