Question: 2. Continuity and Uniform Continuity (20 Points) Consider the function f(x) = x on the interval [0, 1]. (a) Prove that the function is

2. Continuity and Uniform Continuity (20 Points) Consider the function f(x) = x on the interval [0, 1]. (a) Prove that the function is continuous on [0, 1]. (b) Determine if the function is uniformly continuous on this interval.

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