,
n - n ,
,
16.2.4
,
16.2.6.
, , X, .
( )
fn(x) 0.
16.2.6.
.
.
, , () .
X, ,
X, , .
,
16.2.7.
, n -
.
,
.
:
, , .
,
, , , .
, 16.2.6.
:
, x0
{Sn(x)} , x0 , {Sn(x)} .
16.2.8.
X, ..
S(x) X
|
|
, . .
, , .
.
16.2.5.
1)
. ≤ 1 , ≤ 0, .
2)
, .
.
,
, .. < 0, , .. > 0. = 0 , , .
,
< 0 ≥0.
, :
16.2.9
()
.
(an xn). =0 0.
= 0. y = x 0 , .
16.2.3.( )
1. , = 1 ≠0. , , ,
, .
2) , = 2. , ,
16.2.10
, ,
, R ≥0 ( , R = +∞), :
1) |x| < R
2) |x| > R
3) , .
R = ∞ 2) 3) , 1) ,
R = 0 1) , = 0.
16.2.11
R , (- R, R) .
, :
16.2.6.
1)
.1)
, ()
16.2.12.
f(x) 0 .
|
|
f(x) 0.
0 = 0 .
: f(x) 0? f(x), , , f(x)?
16.2.13.
f(x) 0, 0
:
0.
, , .