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

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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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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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