1
2!
(x x0)(x x1),
x
x0
x1
,
1
|(x x0)(x x1)|≤
12!
8
.
f(x)=sin(x),
1
|f (x)|=| sin(x)|≤1,
n!
,
ξ
x0,x1,···,xn
f[30,31,···,38
]=
f(8)(ξ)
9!
=0.
11.
l0(x),l1(x),···,ln(x)
,xn
x0,x1,···n
1
nli(x)=1,
i=0
n
x x1
:
n=1
l0(x)=x1l0(x)+l1(x)=1
n,
y=1
x0,
n
n
=
14
n=