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

11n3 + 6n + 3
a) lim
;
8n3 − n 2

− 3n3 + 7 (− 1)n
b) lim ( 3
+
)
2n − 1 (n + 2)

Câu2.(3đ). Tìm các giới hạn sau

x 2 + 10 x + 24
a) lim
;
x → ( − 4)
x2 + 4 x

b) lim−
x→ 5

x 2 − 25
( x + 1)(5 − x)
2

;

c) lim +
x → ( − 3)

x | x + 3|
x2 + 4x + 3

¡

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên
 x 2 − 3x + 2
, x<2

f ( x) =  x2 − 2 x
 mx + m + 1, x ≥ 2


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

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

x∈(0,1).
Bài làm
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b) lim (

− 5n + 8 cos n
+
)
2n − 1
n+1

Câu 2.(3đ). Tìm các giới hạn sau

x2 − 4
a)lim
;
x→ 2 x − 2

b) lim−
x→ 3

x2 − 9
( x + 1)(3 − x)
2

;

c) lim −
x → ( − 3)

x | x + 3|
x 2 + 3x + 4

¡

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên
 x3 − 1
, x≠1

f ( x) =  x − 1
 m + 1, x = 1


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

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

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

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