. f(x) g(x) =, =, :
1. = ( );
2. =× ( );
3. , , ¹0 ( ).
g , ..., :
= Û f(x) =A+ a(x), a(x)0 ,
= Û g(x) =B+ b(x), b(x)0 .
f(x) g(x) = (A B) + (a(x) b(x)) = (A B) +g(x), g(x)0 . , .
f(x)×g(x)= (A+a(x))×(B+b(x))= A×B+g(x), g(x)=(A×b(x)+B×a(x)+a(x)×b(x))0 ... , .
, 0 :
= = = .
...: 0 . , ... .
=0 , e= d>0, , "Î ½b()½< . ½+b()½³½½-½b()½>½B½- = ,
= < = "Î .n
:
1) ;
2) n , , ;
3) .
:
X Y, Y Z.
( ). ( ): =b, =c,
( ) g(f(x)), : = .