MV3047
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1.< #8 G = AD 4(C + A) ;
2.$!’%$# /# & & ! % % AY = C ;
3.$!’%$# 6 6 /( AX = B , . .! 5( / / / K#(66#;
4.< #8 * /# & 2 F :
5.< #8 * 2 :
a)
d )
lim |
7x4 2x3 + 3 |
, b) lim |
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x2 5x + 6 |
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c) lim |
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x4 + 3 |
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x2 |
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x2 5x |
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1 cos(4x) |
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x + 3 |
x2 |
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lim |
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e) lim |
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2xtg(5x) |
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x +1 |
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6.65 +( "2 @ # . & &! 6 7, $ #8 " & $& !( ! %! , '#" & #
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(x + 1) |
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x 2; |
. -( (!# *+ " +( "2 ,: F(x) = |
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1 x, |
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x > 2 |
7. < #8 y/ 5% #6 (. ' +( "2 8:
a) y = etg ( x) + x4 cos3 (4x); b) y = ln ln(7x + 
x)
c) y = |
arctg(x2 ) |
d ) y = (sin(7x))3 |
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5x 8x3 |
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8.<#. 6# & ! % % , # &/#5 *+ "# +( "2 , y = 36 x2 ! 2 c #-62 -
6 @ x = 5 .
9.& 6 (@ 67 .! 5 / . #5% $ #8 #6 (. * 2 :
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ex e x |
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a) lim |
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b) lim x2e |
x2 |
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x 0 ln(1+ x) |
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1.< #8 G = DC 3(C + A) ;
2.$!’%$# /# & & ! % %YD = A ;
3.$!’%$# 6 6 /( AX = B , . .! 5( / / / K#(66#;
4.< #8 * /# & 2 F :
5.< #8 * 2 :
a) |
lim |
8x5 3x2 |
+ 9 |
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b) lim |
x3 x2 5x 3 |
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c) lim |
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x 2 |
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2x5 + 2x2 + 5 |
x2 + 2x 15 |
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5x |
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x + 4 |
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d ) |
lim |
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e) lim |
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tg(3x) |
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x 0 |
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6.65 +( "2 @ # . & &! 6 7, $ #8 " & $& !( ! %! , '#" & #
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x 4; |
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x |
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F (x) = |
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x > 4 |
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7.< #8 y/ 5% #6 (. ' +( "2 8:
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a) y = 5eln(5 x) + |
1 2x ; b) y = ln arcsin(x3 + |
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c) y = |
3 3 2x2 |
d ) y = (ln(7x))2 x |
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ctg(5x) |
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8.<#. 6# & ! % % , # &/#5 *+ "# +( "2 , y = x2 + 2x + 1 ! " c #--
62 66 8 x = 1.
9.& 6 (@ 67 .! 5 / . #5% $ #8 #6 (. * 2 :
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e3x 3x 1 |
2 x ) |
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a) lim |
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; b) lim(tg(x)) |
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sin2 (5x) |
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x 0 |
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+ 1 4 A:
1.6"( ! . . « ++ & 2 #57 *9 6 65 5% ! ($ !» : - ., f $/# -
* $, 1963 *.
2.67/ M8 . . «" 6. " 5 " 8 . !M6L 8 /# /# " », 1 #6 7. « $ # 576 !
« -.& 66»:- , 2002 *.
3.5" ! . ., K& * &7 ! . ., + / !# . ., 5 / 82 !# <. ., #& # ! . ., <# # "
." "(/ . !M6L 8 /# /# " : = 6 !#. f( "2 . & 5. .& &M! 6 7. & $-
! #%. – : $ # 576 ! * 6" * ( ! &6 #, 1988 *.
4.Z &/# K. . - & " $# # . "(&6( /# /# 6" * # #5 $# – « #("#», 1977 *.
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