51
4. '&!*/. 5* 6&!*/.
"%:
a) H :
)(lim)(lim xfkxkf
axax oo
.
b) R7 n – !,
.lim;lim
nn
ax
nn
ax
axax
oo
5. -!+ %!@!! : /*!+%< %!FH %!@!!F =!+> +:
/*!+%<, %> =!+ %>! ! %!FH !*F:
¸
¹
·
¨
©
§
z
o
o
o
o
ax
ax
ax
ax
xg
xg
xf
xg
xf
0)(lim
)(lim
)(lim
)(
)(
lim
.
5(, '(< (
(
00
;0;0;1;;;
0
0
ffff
f
f
f
, -
) !.
4.3. "&!%> /*!+%,.
/ ’ .
C;!!!:
* f(x) < !&!F +% a, 7
1) < ! !
faf )(
;
2) < !
Axf
ax
o
)(lim
;
3) ! ! a (< ! ! A=f.
R7 f(x) ! ( , , 7
!&! ! &%$*. % [, d]
( ((. . 6).
( (:
1)
' !;
2) , (' < ) <);
3) 7 f(x), g(x) – ' !,
0)( zxg
' -
!,
)(
)(
xg
xf
' !.
5(! ( ( ( ' -
:
1. R7 f(x) – ! x=a,
)()(lim afxf
ax
o
.
2. % !
nn
nnn
axaxaxaxaxP
1
2
2
1
10
...)(
a
o
()< !) ! x=a, '
)()(lim aPxP
ax
o
.