n 5. Consider the sequence of functions {fn (x)}n given by fn(x) for XE [0,1] and 0 otherwise. Show that this sequence of functions is pointwise convergent and converges to the function f(x)=0 for all x. =
n 5. Consider the sequence of functions {fn (x)}n given by fn(x) for XE [0,1] and 0 otherwise. Show that this sequence of functions is pointwise convergent and converges to the function f(x)=0 for all x. =
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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5. Consider the sequence of functions {f(x)}n given by f(x) for XE[0,1] and 0 otherwise.
Show that this sequence of functions is pointwise convergent and converges to the function f(x)=0
for all x.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6be4e98e-3d80-47d6-a8a2-7cbe1f714c88%2Fa06804be-cbf7-45aa-b58e-b0b4a41a15e5%2Fis95cjt_processed.png&w=3840&q=75)
Transcribed Image Text:n
5. Consider the sequence of functions {f(x)}n given by f(x) for XE[0,1] and 0 otherwise.
Show that this sequence of functions is pointwise convergent and converges to the function f(x)=0
for all x.
=
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