, , .
, . , , : (a; b ], (¥; a), [ b; ¥), (¥;¥).
, . , .
.
. , .
. , V M. , . : V, V 1, V 2, V 3,... : M 1, M 2, M 3, . , . , .
x . < x < + D , P ( < x < + D ). D .
, D 0, P ( < x < + D ) 0. f x() P ( < x < + D ) D D 0, :
.
f x() x.
, , : :
, [ a; b ], .
f x(), :
1) f x()³0 x;
2) ( ).
x . F x(x),
,
x.
, x x< x ( x x).
.
.
f x(x) .
F x(x) x :
1. 0£ F x(x)£1, ¥< x <¥.
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2. ; .
3. F x(x) .
13 F x(x).
4. F x(x) ( 1; 2) , x :
F x(x 2) F x(x 1)= P (x 1£x< x 2).
.
F x(x 2)= P (x< x 2)= P (x< x 1)+ P (x 1£x< x 2)= F x(x 1)+ P (x 1£x< x 2).
P (x 1£x< x 2)= F x(x 2) F x(x 1), ...
, x
P (x 1£x< x 2)= P (x 1<x< x 2)= P (x 1<x£ x 2)= P (x 1£x£ x 2),
.. : P (x 1)= P (x 2)=0.
, , . x,
,
i, xi < x.
; , {x= x k}. ,
,
{ xk, k =1,2,3,} x.
1, 2 4 F x, , .
, f x(x) .
x
.
, .
, , .
h=j(x) x, ,
.
[x] = , [x]= .
Mo x , . , , .
Me x, ,
.
, f x(x) , .
x
.
, , .
, :
h=j(x) ,
k x
.
k x
, k =1, a1= M [x], m1=0; k =2, m2= D [x].
21. ( )
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F (x) . M [ X ], D [ X ], Mo, Me.
. F (x) .
x £0, f (x)=0, , .
0< x £2,
x >2,
,
M [ X ] :
D [ X ]
f (x) =2 ( f (x)) , , = 2.
( ). , = 1.414.