Question: Let fn(x) := 1/(1 + x)n for x [0, 1]. Find the point wise limit f of the sequence (fn) on [0, 1]. Does

Let fn(x) := 1/(1 + x)n for x ∈ [0, 1]. Find the point wise limit f of the sequence (fn) on [0, 1]. Does (fn) converge uniformly to f on [0, 1]?

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