4
86 Representing
Representing Functions as Priver Series
1-x
1-o
Ex
=
§
√2=0
(x²)^
(-!)* (x²)~
|x2|<!
-1<x<l
Χ
R=!
(x) fax) = 2,131
12341
K
1
2+3+1
/// R = 1/1
3
02
=
Иго
-(-2x²)
=
K
ио
=-
Ex) fexs = x²-x-2
11/1
-?<x<?
s
=
B
(7-2)(x+1)
x-2
+-2
1-(58)
(02
-
120
n=0
1
Fax/<!
S
-Laxal
R=1 IOC = -kxcl
,8.6 Cont.
Ex) fax) = (1+x)² = 1xx
1tx
:)
له
Then. If
2
らい
2007]
-12-20
{-1^x-x² + x²-3'
3_
2
fo + 1-2x + 3x²...]
K-
I Ci₂ (xs
= 1/2 (~1 x = 2/2 (-10° (n+1) x = ½ dx
1 C(x-a)" has R&G than x is
differentiable / cant in (α-R, a₁R)
(i) as = can ex-sm-1
(ii) Stards = c+
1=0
Сл
(x-4)+
1+1
है fl fi
86 Representing
Representing Functions as Priver Series
1-x
1-o
Ex
=
§
√2=0
(x²)^
(-!)* (x²)~
|x2|<!
-1<x<l
Χ
R=!
(x) fax) = 2,131
12341
K
1
2+3+1
/// R = 1/1
3
02
=
Иго
-(-2x²)
=
K
ио
=-
Ex) fexs = x²-x-2
11/1
-?<x<?
s
=
B
(7-2)(x+1)
x-2
+-2
1-(58)
(02
-
120
n=0
1
Fax/<!
S
-Laxal
R=1 IOC = -kxcl
,8.6 Cont.
Ex) fax) = (1+x)² = 1xx
1tx
:)
له
Then. If
2
らい
2007]
-12-20
{-1^x-x² + x²-3'
3_
2
fo + 1-2x + 3x²...]
K-
I Ci₂ (xs
= 1/2 (~1 x = 2/2 (-10° (n+1) x = ½ dx
1 C(x-a)" has R&G than x is
differentiable / cant in (α-R, a₁R)
(i) as = can ex-sm-1
(ii) Stards = c+
1=0
Сл
(x-4)+
1+1
है fl fi
