Show that the sequence of functions on the domain [-1, 1] defined by if -1
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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![Show that the sequence of functions on the domain [-1, 1] defined by
if - 1<r<0,
0,
if 0 <x < 1/n,
if 1/n <x < 1.
fn(x)
nI,
1,
is Cauchy with respect to the L' norm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8599a2e2-f167-43f6-a4a0-fcc60cfe79d7%2F854526d8-439f-43ac-86c2-ba605f4106c3%2Faghioso_processed.png&w=3840&q=75)
Transcribed Image Text:Show that the sequence of functions on the domain [-1, 1] defined by
if - 1<r<0,
0,
if 0 <x < 1/n,
if 1/n <x < 1.
fn(x)
nI,
1,
is Cauchy with respect to the L' norm.
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