2.J Let fn(x) = x ½n for 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2
2.1 Let fn(x)=xn for 0<x<1 and nEN
neN.
or.) Find a function f on [at] such that (fr) converges
pointaise to fan [0, 1].
b.) Does (fr) converge uniformly to f on [0,1] where & is
as in pont a?
Justify your
ons wer!
Transcribed Image Text:2.1 Let fn(x)=xn for 0<x<1 and nEN neN. or.) Find a function f on [at] such that (fr) converges pointaise to fan [0, 1]. b.) Does (fr) converge uniformly to f on [0,1] where & is as in pont a? Justify your ons wer!
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