Tài liệu Ngân hàng đề kiểm tra toán 11 - chương trình chuẩn docx
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NGÂN HÀNG ĐỀ KIỂM TRA- TOÁN 11- CHƯƠNG TRÌNH CHUẨN
STT
Mã
câu
hỏi
Ý,
thời
gian
Nội dung Điểm
3
3
3 2 5
lim
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n n
n
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+
5 2.3
lim
4 3.5
n n
n n
+
−
3
2 3
3
3
2 5
3
3 2 5 3
lim lim .
1
1 2 2
2
n n
n n
n
n
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+ +
= =
+
+
3
1 2.
5 2.3 1
5
lim lim .
4 3.5 3
4
3
5
n
n n
nn n
+
÷
+
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−
−
÷
2
3 2
lim
1
n n
n n
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− +
1 1
( 2) 3
lim
( 2) 3
n n
n n+ +
− +
− +
3 2
2
2
3 1 2
3 2
lim lim 0.
1 1
1
1
n n
n n n
n n
n n
− + +
− + +
= =
− +
− +
11 1
2
1
( 2) 3 1 1
3
lim lim .
( 2) 3 3 3
2
1
3
n
n n
nn n ++ +
− +
÷
− +
= =
− +
− +
÷
( )
1
3 3 3 3 3( 1)
2 4
2 2 2
2
n
n
S
+
−
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,
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2
.
1
2 4
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2
1
2
n
n
S
+
−
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+
+
2
2
1
1
lim
3 2
x
x
x x
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−
+ +
2
2
1 1 1
1 ( 1)( 1) 1
lim lim lim 2.
3 2 ( 1)( 2) 2
x x x
x x x x
x x x x x
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− + − −
= = = −
+ + + + +
2
1
2 3
lim
1
x
x
x
→
− +
−
2
2
1 1
1
1
2 3 4 ( 3)
lim lim
1
( 1)(2 3)
( 1)
lim
( 1)( 1)(2 3)
1 1
lim .
8
( 1)(2 3)
x x
x
x
x x
x
x x
x
x x x
x x
→ →
→
→
− + − +
= =
−
− + +
− −
=
− + + +
−
= −
+ + +
-
3 2
4 2
3
5 3 9
lim
8 9
x
x x x
x x
→
− + +
− −
3 2 2
4 2 2 2
3 3
2
3
5 3 9 ( 3) ( 1)
lim lim
8 9 ( 1)( 9)
( 3)( 1)
lim 0
( 1)( 3)
x x
x
x x x x x
x x x x
x x
x x
→ →
→
− + + − +
= =
− − + −
− +
=
+ +
.
/
3
2
4 2
lim
2
x
x
x
→
−
−
( )
( )
( ) ( )
( )
2
3 3 3
3
2
2 2
3 3
2 2
2 2
3 3 3 3
2
2
3 3
( 4 2) 4 2 4 4
4 2
lim lim
2
( 2) 4 2 4 4
4 8 4( 2)
lim lim
( 2) 4 2 4 4 ( 2) 4 2 4 4
4 1
lim .
3
4 2 4 4
x x
x x
x
x x x
x
x
x x x
x x
x x x x x x
x x
→ →
→ →
→
− + +
−
=
−
− + +
− −
= =
− + + − + +
= =
+ +
0
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lim ( ) lim lim lim( 1) 2 ( 1)
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x x x x
x x x
f x x f
x x
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− − +
= = = − = − = −
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3 3
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2
3 4 1
x x x
x
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x x
x
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