Question

Let C([a, b]) be the metric space of continuous functions on the interval [a, b] with the metric d∞(f, g) = max x∈[a,b] |f (x) − g(x)|. Let f (x) = x2 and g(x) = x. Find: (i) d∞(f, g) in C([0, 1]); [3 Marks]