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True or False? Prove or give a counterexample (d) [4 pts] Let (X, p) be a metric space and suppose f: X - [-1/2, 1/2]

True or False? Prove or give a counterexample

(d) [4 pts] Let (X, p) be a metric space and suppose f: X - [-1/2, 1/2] is continuous. Then g(x) - Elf(x)]" In(n + 1) is continuous

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