Consider the sequence of functions {fn}n=2 where fn: [a, b] → R defined for n > 2 by if 0 sxs fa = {-n? (x -) if sxs. if 2
Consider the sequence of functions {fn}n=2 where fn: [a, b] → R defined for n > 2 by if 0 sxs fa = {-n? (x -) if sxs. if 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Consider the sequence of functions {fn}n=2 where fn: [a, b] → R defined for n > 2 by
if 0 sxs
fa = {-n? (x -) if sxs.
if 2<x<1
n²x
Prove {fn}=2 does not converge uniformly to f(x) = 04](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a6de9c0-0dc9-496d-ac04-6f6e122e4a65%2Ffb63d012-d154-486d-91fd-cd4f8d307184%2Fc0cg135_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the sequence of functions {fn}n=2 where fn: [a, b] → R defined for n > 2 by
if 0 sxs
fa = {-n? (x -) if sxs.
if 2<x<1
n²x
Prove {fn}=2 does not converge uniformly to f(x) = 04
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