Consider the sequence S n²x(1 – nx) { x € [0, 1/n] fn(x) := elsewhere. Investigate the pointwise convergence of the sequence (fn(x))neN on [0, 1]
Consider the sequence S n²x(1 – nx) { x € [0, 1/n] fn(x) := elsewhere. Investigate the pointwise convergence of the sequence (fn(x))neN on [0, 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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pointwise convergence q help. Please write up neatly
![Consider the sequence
S n²x(1 – nx)
{
x € [0, 1/n]
fn(x) :=
elsewhere.
Investigate the pointwise convergence of the sequence
(fn(x))neN
on [0, 1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F348082f4-b121-4ba4-892a-9b3ad6631b87%2Fb158ade8-2745-4ed9-aa2d-6a6bb99745b2%2F4v84wj4_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the sequence
S n²x(1 – nx)
{
x € [0, 1/n]
fn(x) :=
elsewhere.
Investigate the pointwise convergence of the sequence
(fn(x))neN
on [0, 1]
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