For n ≥ 1, let fn : [0, ∞) → R be defined by: fn(2) (a) Prove that fn(x) converges to a function f(x) for all x = [0, ∞) as n → ∞. (b) Does fn → f uniformly on [0, 1]? Justify your answer. (c) Does fn → ƒ uniformly on [1, ∞)? Justify your answer. nx 1 + nx

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