Question: (5 points) Prove that {x)} EN does not converge uniformly in [0, 1]. (5 points) Let g be continuous on [0, 1] with g(1)

(5 points) Prove that {x")} EN does not converge uniformly in [0, 1]. (5 points) Let g be continuous on [0, 1] with g(1) = 0. Show that {x" g(x)} converges uniformly in [0, 1].

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