1. The problem statement, all variables and given/known data Show x^2 is continuous, on all reals, using a delta/epsilon argument. Let E>0. I want to find a D s.t. whenever d(x,y)<D d(f(x),f(y))<E. WLOG let x>y |x^2-y^2|=x^2-y^2=(x-y)(x+y)<D(x+y) I am trying to bound x+y, but can't figure out how.