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Compute the point-wise limit of (fn) and determine if they converge uniformly on given intervals. 1. fn (x) = x(1 – x)" , æ E [0, 1).

Compute the point-wise limit of (fn) and determine if they converge uniformly on given intervals. 1. fn (x) = x(1 – x)" , æ E [0, 1).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Compute the point-wise limit of (fn) and determine if they converge uniformly on given intervals. 1. fn (x) = x(1 – ax)", x E [0, 1]. 2. fn (x) -nx? ,x E (-∞, +0). Hint: find sup | fn(x)|. = nxe
Transcribed Image Text:Compute the point-wise limit of (fn) and determine if they converge uniformly on given intervals. 1. fn (x) = x(1 – ax)", x E [0, 1]. 2. fn (x) -nx? ,x E (-∞, +0). Hint: find sup | fn(x)|. = nxe
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