Đề kiểm tra 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

− 2n3 − 5n + 3
a) lim
;
7 n3 − n 2

b) lim (

2n + 3
1
+
)
n − 1 n(n + 1)

Câu 2.(3đ). Tìm các giới hạn sau

x4 − 1
a) lim 2
;
x → − 1 x + 11x + 10

x2 − 4 x + 1

b) lim
;
x → −∞
3− x

c) lim−
x→ 1

| x − 1|
3 − 3x

¡

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
nghiệm âm.

x5 + 2007 x 4 +

1
=0
có ít nhất một
2007

Bài làm
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b) lim (
+
)
2n − 1 (n + 1)

− 5n 4 − 5n + 3
a) lim
;
2n 4 − n 2
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 → ( − 3)

x2 + 5x + 6
| x + 3|

¡

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 giải tích 11 chương 4

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