Solution(6) Griven pouer series is 3n+2 an (x-4) 3h+2 es)n t 3n+2 (x - 4)°"* 1 %3D n= 1 れ=! 1 一 1 3nt2 Here and Antl %3D 3nt 5 Let radius of con verg ence of giren power R be the series cthen +1 ant1 そりクね = Gim R =lèm 3n+2 れ→o an 3nt5 そりり 3n+ 2 Lion nto 3t 5/n = lim 3+0 R =ニ=1 3nt5 3+0 1 > R=1| 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Hoe did this become 3n+5 it should be 3n+1+1=3n+3 if not please explain why asap i have 20min till my exam!
Solution(6)
Griven pouer series is
3h+2
3n+2
Ž an (z-4)
int2
(X- 4)
3n+2
れ=
1
Here
an =
and
antl
3n+2
3nt 5
radius of
of giren power
Let
R
be the
con verg ence
series
cthen
Cim
ant1
=lèm
3わ+2
R
an
3nt5
そりり
3れ+2
3+2/n
= lim
nyo
= lim
340
R
3n+5
3+ 5/n
3+0
3
1
こ1
> R=1
Transcribed Image Text:Solution(6) Griven pouer series is 3h+2 3n+2 Ž an (z-4) int2 (X- 4) 3n+2 れ= 1 Here an = and antl 3n+2 3nt 5 radius of of giren power Let R be the con verg ence series cthen Cim ant1 =lèm 3わ+2 R an 3nt5 そりり 3れ+2 3+2/n = lim nyo = lim 340 R 3n+5 3+ 5/n 3+0 3 1 こ1 > R=1
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