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

− n5 − 5n 2 + 3
a) lim
;
7 n5 − n 2

b) lim (

− 2n + 3 (− 1)n
+
)
5n − 1 (n + 1)

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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2n 4 − n 2

b) lim (

− 3n + 9 cos n
+
)
2n + 3
n+1

Câu 2.(3đ). Tìm các giới hạn sau

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

x2 − 4x + 3
b) lim
;
x → −∞
3− x

x2 + 5x + 6
c) lim +
x → ( − 3)
| x + 3|

¡

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

2 x3 − 6 x + 1 = 0 có ít nhất ba nghiệm

x ∈ (− 2,2).
Bài làm
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Đề kiểm tra Đại số và giải tích 11 chương 4

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