Let P denote the set of all polynomials in the real variable x which varies over the interval [0, 1]. What is the closure of P in C[0, 1] (with its usual supnorm topology)
please help. no idea how to solve this
Let P denote the set of all polynomials in the real variable x which varies over the interval [0, 1]. What is the closure of P in C[0, 1] (with its usual supnorm topology)
please help. no idea how to solve this
Hint: Look up the Stone-Weierstrass Theorem. (For your problem, the Weierstrass Approximation Theorem suffices.)