Fox what aje n=o a) convergent by uniformly convergent? Thus 을 고 não 14x3 fox 1+xn The ferm Texn become and + tox хапде Hence the fox Σ n=o tox of x the remaining values of x. Thus, sexies XE of Positive values of x the sexies 17x3 x=0, 1 x = (1,∞) x=1 (1,0) the series Hence, sange 11 Thus fox x= [1,00) Σ Texn n=o and n=o fox x=0 is n=o independant dependant of a TexD is convergent 14x3 i-e 1
Fox what aje n=o a) convergent by uniformly convergent? Thus 을 고 não 14x3 fox 1+xn The ferm Texn become and + tox хапде Hence the fox Σ n=o tox of x the remaining values of x. Thus, sexies XE of Positive values of x the sexies 17x3 x=0, 1 x = (1,∞) x=1 (1,0) the series Hence, sange 11 Thus fox x= [1,00) Σ Texn n=o and n=o fox x=0 is n=o independant dependant of a TexD is convergent 14x3 i-e 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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![For what
is
a) ž
a) convergent
by unitormly convergent ?
n=o
The ferm
and
Thus
1+xn
fox
Hence
fox
range of
1
14x3
the
Thus
fox
Hence,
14x3
½ tox
of Positive values of x
хе
of x fox
the remaining values of x.
Thus,
Ž
∞
Î Than
n=o
become
x
series Ž Texn
Σ
n=o
the sexies
x=0 1
"
x=1
(1,00)
the series
x = (1,∞)
41
1
and
n=o
fox
14x3
n=o
is independant
dependant of x
x=0
is convergent
1423
i-e 1<x< x
is convergent
is convergent for x = (100)
continuous tox x= [100])
the series is uniformly convergent
x = [1,00)
range
of the values of x
is 1sxst](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6be4e98e-3d80-47d6-a8a2-7cbe1f714c88%2Faf0e51b7-cda1-4559-a263-fbbd9b4a04cf%2F7y21l7l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For what
is
a) ž
a) convergent
by unitormly convergent ?
n=o
The ferm
and
Thus
1+xn
fox
Hence
fox
range of
1
14x3
the
Thus
fox
Hence,
14x3
½ tox
of Positive values of x
хе
of x fox
the remaining values of x.
Thus,
Ž
∞
Î Than
n=o
become
x
series Ž Texn
Σ
n=o
the sexies
x=0 1
"
x=1
(1,00)
the series
x = (1,∞)
41
1
and
n=o
fox
14x3
n=o
is independant
dependant of x
x=0
is convergent
1423
i-e 1<x< x
is convergent
is convergent for x = (100)
continuous tox x= [100])
the series is uniformly convergent
x = [1,00)
range
of the values of x
is 1sxst
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