24.6 Let fn(x) = (x − 1)² for x = [0, 1].(a) Does the sequence (fn) converge pointwise on the set [0, 1]? Ifso, give the limit function.(b) Does (fn) converge uniformly on [0, 1]? Prove your assertion.

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Answered: 24.6 Let fn(x) = (x − 1)² for x = [0,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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24.6 Let fn(x) = (x − 1)² for x = [0, 1]. (a) Does the sequence (fn) converge pointwise on the set [0, 1]? If so, give the limit function. (b) Does (fn) converge uniformly on [0, 1]? Prove your assertion.