HOMEWORK 7 - Home - UCLA Mathematics

Problem 1 (17.5). (a)Prove that if m2N, then the function f(x) = xmis continuous on R. (b)Prove that every polynomial function p(x) = a 0 + a 1x+ + a nxnis continuous on R. Solution. (Both parts can be made more formal by induction.) (a)Since products of continuous functions are continuous, xm= xx xis continuous. ................
................