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Trang 11
2sin cos
L
2
lim
2sin cos 4 2
4 sin 1 4
2 sin 1 x
c x
x x
x
2
3
2
2
sin
1
os
x
L
3
3
2 3
1
1 0
6 2
L
x
x
4
2
0
x
L
5
1
sin
os
x
e
L
x
c x
0 2
1 2
2
1 2
1 2 tan
x x
x
e
x
6
2 2
x
L
TÍNH GI I H N B NG QUY T C LOPITAN
ÁP ÁN BÀI T P T LUY N
Giáo viên: LÊ BÁ TR N PH NG
Trang 27
2
4
1
cot
4
x
x
x
2
4
lim sin ( ) 1
4 x
x
8
2
1
L
x
9
2
1
L
x
10
2 2
2 2
1 arctan
2
x
x L
L
Khi x thì L
Khi x thì L0
V y không t n t i lim 2 3
5
x
x
1 2
1
ln 1
L
x x
1
4
4
lim(tan )x 1
x
L y ln c 2 v , ta đ c
4
x
xc x x
2
L e
Trang 314 lim (2ar tan ) (1 )x
x
L y ln c 2 v , ta đ c
ln ln lim ( ar tan )x lim ln( ar tan )x lim ln( ar tan )
2
2 2 2
1
0
x
x
x
0
2
L e
2 arcsin
lim arcsin t( 2) 0 lim
x x
x
2
2 2
1 2 2 1
lim
os ( 2) x
x
ln( 1) lim( 1) ln( 1) 0 lim
1 1
x
x
2
1 1
1 ( 1)
x
17 sin 0
0
lim x 0
x
L y ln c 2 v ,ta đ c
ln
1 sin
x
x
2
2
1
sin
x
x
0 1
L e
Giáo viên : Lê Bá Tr n Ph ng
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