Let C([a,b], R) be the set of continuous real-valued functions on the interval [a,b]/ Define the met… Show more Let C([a,b], R) be the set of continuous real-valued functions on the interval [a,b]/ Define the metric on C([a,b], R) as d(f,g) := sup | f(x) – g(x) |. Show that C([a,b], R) is a complete metric space. • Show less