Đề kiểm tra Đại số và giải tích 11 chương 4

BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 1
Câu 1.(2đ). Tìm các giới hạn sau

a) lim

3n3 − 5n + 3
;
2n 3 − n 2

b) lim (

n + 1 cos n
+ n )
n
3

Câu 2.(3đ). Tìm các giới hạn sau

x3 + 8
a) lim 2
;
x → ( − 2) x + 11x + 18

(2 x − 1) x 2 − 3

b) lim
;
x → −∞
x − 5x 2

c) lim −
x → ( − 1)

x 2 + 3x + 2
| x + 1|

¡

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên
 x 2 − 3x + 2
, x< 2

f ( x) =  x 2 − 2 x
 mx + m + 1, x ≥ 2


Câu 4.(2đ). Chứng minh rằng phương trình

3x3 + 2 x − 2 = 0 có ít nhất một nghiệm

x∈ (0,1).
Bài làm
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BÀI KIỂM TRA GIẢI TÍCH 11- CHƯƠNG 4 (45’)
Họ và tên HS:...................................................................Lớp 11A…
Điểm

Lời nhận xét của thầy, cô giáo

Đề bài
Đề 2
Câu 1.(2đ). Tìm các giới hạn sau

− 2n3 − 5n + 3
a) lim
;
4n3 − n 2

b) lim (

2n + 1 sin n
+ n )
n
3

Câu 2.(3đ). Tìm các giới hạn sau

x2 − 4
a)lim
;
x→ 2 x − 2

b) lim−
x→ 2

x2 − 4
( x + 1)(2 − x )
2

;

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

c) lim +
x → ( − 2)

x| x+ 2|
x 2 + 3x + 2

¡

 x 2 − 1, x ≤ 1
f ( x) =  2
 mx + 2 x, x > 1
Câu 4.(2đ). Chứng minh rằng với mọi
nhất một nghiệm

m∈ (2,34) , phương trình

x3 + 3x − 2 = m có ít

x∈ (1,3).
Bài làm

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