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
;
2n3 − n 2

b) lim (

n + 1 cos n
+ n )
n
3

Câu 2.(3đ). Tìm các giới hạn sau

x 2 + 9 x + 20
a) lim
;
x → ( − 4)
x2 + 4x

x2 − 1
b) lim (
);
x → −∞
3x

c) lim−
x→ 1

| x − 1|
3 − 3x

¡

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên
 m 2 + m − 4 x, x < 1

f ( x) =  2,
x =1
 x 2 + 4 x − 3, x > 1


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

x5 + 2007 x 4 +

1
=0
có ít nhất một

2007

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
− 3n + 7 (− 1) n

b) lim (
+
)
2n − 1 ( n + 1)

− 2 n 4 − 5n + 3
a) lim
;
n4 − n 2
Câu 2.(3đ). Tìm các giới hạn sau

( x − 2)3 + 8
a ) lim
;
x→ 0
x

x 2 − 3x + 2
;
x → −∞
2− x

b) lim

c) lim +
x → ( − 1)

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

¡

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

 x 2 − 2, x ≤ 2
f ( x) =  2
 mx + 2 x, 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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