2. fn (x) = -nx² E (-∞, +∞). Hint: find sup | fn (x)|. = nxe
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70a33ae0-1646-4bd0-9a75-ce3b23cf5c1f%2F08f1b462-e6d4-43b1-9737-1d97751c3420%2Fgpg8zhr_processed.png&w=3840&q=75)
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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