Let gn(x) := nx(1 - x)n for x (0, 1), n N. Discuss the convergence

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Let gn(x) := nx(1 - x)n for x ∈ (0, 1), n ∈ N. Discuss the convergence of (gn) and (∫10 gndx).
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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