Suppose f: R → R is a continuous function which can be uniformly approximated by polynomials on R. Show that f is itself a polynomial. - Pm: Assuming |Pn(x) – Pm(x)| < ɛ for all x E R, (Hint: If Pn and Pm are polynomials, then so is Pn what does that tell you about Pn – Pm? Sub-hint: how do polynomials behave at infinity?)