Đề kiểm tra Đại số và giải tích 11 chương 4

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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 1
Câu 1.(2đ). Tìm các giới hạn sau

3n3 − 5n + 3
a) lim
;
2n 3 − 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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a) lim
;
4n3 − n 2

b) lim (

2n + 1 sin 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

x 2 + 3x + 2
c) lim −
x → ( − 1)
| x + 1|

¡

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

 x2 , x < 1
f ( x) = 
 2mx − 3, x ≥ 1
Câu 4.(2đ). Chứng minh rằng phương trình
âm.

x3 + 1000 x 2 + 0,1 = 0 có ít nhất một nghiệm

Bài làm
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Đề kiểm tra Đại số và giải tích 11 chương 4

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