Thmi Let a E IR, Let エ be an open interval real valued frcctroos a itseif: contains aノ are defined on except possibly at エ O It gl)s h Cx)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Good morning, I was hoping for some help on writing the proof for the theorem in the picture.
Thni Let a E IR, Let
let figih
be
interval
an
open
contains
a
ノ
real valued functrok
are
defined
except possibly at
a itseif:
On
エ
o It gli) s h Cx) <f Ca) V XE Il Sa}
lim fas eim gl)こレ
and
とうり
thon lin hC
lim 2Cx) =L
(Squeere Theren)
and
エf 19c)1に M
V XE Il Sa}
and
then
ンうa
lin fl x) glx)
fu) E glx) ¥ xe Ilsa}
then lim flo) s lim glx)
[Comparson Thoorem]
×う
DROOF:
Transcribed Image Text:Thni Let a E IR, Let let figih be interval an open contains a ノ real valued functrok are defined except possibly at a itseif: On エ o It gli) s h Cx) <f Ca) V XE Il Sa} lim fas eim gl)こレ and とうり thon lin hC lim 2Cx) =L (Squeere Theren) and エf 19c)1に M V XE Il Sa} and then ンうa lin fl x) glx) fu) E glx) ¥ xe Ilsa} then lim flo) s lim glx) [Comparson Thoorem] ×う DROOF:
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