1th day Taylor Polynovial
S.S. Tegler Polymania's
("
Lot fars = {"ca) (xmas
then let Tu(a)
ив
ے
cas
(x-a)i
Ex. Find Teas when fax) = fan" (*)
tan ""&s=
(-1)"
X
2011
T₂(x) =
21+1
ヒバ
Elix
3
2:+1
3
4**
5
Let Rules = fad - Ic>
lim R₁CES = 0
1800
Taylor's Formula
If of has nol derivatives in an interval I that contains a rausber
nt
със
then for all
x
in I theres
a
z
number = strictly between
x und a
such that:
(241)
R₁ass=
((**) (2)
(x-a)nti
(n+1)? (x-4)+1
Ex. Find the degree Taylor polynomial for ls about az?
Tx(x) = 1/1 - 1 (x-2) + f (x-3) 2 + (x-2)}
1
2
f") (x) = (-1}"
y²+
fi fi
S.S. Tegler Polymania's
("
Lot fars = {"ca) (xmas
then let Tu(a)
ив
ے
cas
(x-a)i
Ex. Find Teas when fax) = fan" (*)
tan ""&s=
(-1)"
X
2011
T₂(x) =
21+1
ヒバ
Elix
3
2:+1
3
4**
5
Let Rules = fad - Ic>
lim R₁CES = 0
1800
Taylor's Formula
If of has nol derivatives in an interval I that contains a rausber
nt
със
then for all
x
in I theres
a
z
number = strictly between
x und a
such that:
(241)
R₁ass=
((**) (2)
(x-a)nti
(n+1)? (x-4)+1
Ex. Find the degree Taylor polynomial for ls about az?
Tx(x) = 1/1 - 1 (x-2) + f (x-3) 2 + (x-2)}
1
2
f") (x) = (-1}"
y²+
fi fi