Given, sequence of functions {f()} given by f₁ (~) = n for ^+ [0,1] and O otherwise

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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Given,
50
Sequence
for a FRI[0,1]
if n =0,
(im fo(a)
ntw
if at (0,1]
30 f(n)
of functions {f()} given by
50
50 for
to (a) = 0
/
1
r
L
then
f(x=0
lim O
no
(im fo (90)
nt%
By Archimedean propenty
for
f₁ (0) = 0 = 0
then
As at (81)
every
f₁₂ (~) = m/ for ^+[0,1]]
and
0
otherwise
VEN.
50
2
fo(a).
Such
E)0
=) lim
nto
(im 0 = 0
nyo
that
n
a
at (0,1] limf (a)
n
V DEN.
olazi.
а
a ≤ 146
n
= 0
1
for at(0, 1]
ny
there exists MENY
LLE
✓n>m
0
VER
which in the function to which fin (~) converges pointwise.
402m
Transcribed Image Text:Given, 50 Sequence for a FRI[0,1] if n =0, (im fo(a) ntw if at (0,1] 30 f(n) of functions {f()} given by 50 50 for to (a) = 0 / 1 r L then f(x=0 lim O no (im fo (90) nt% By Archimedean propenty for f₁ (0) = 0 = 0 then As at (81) every f₁₂ (~) = m/ for ^+[0,1]] and 0 otherwise VEN. 50 2 fo(a). Such E)0 =) lim nto (im 0 = 0 nyo that n a at (0,1] limf (a) n V DEN. olazi. а a ≤ 146 n = 0 1 for at(0, 1] ny there exists MENY LLE ✓n>m 0 VER which in the function to which fin (~) converges pointwise. 402m
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