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

− 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

x2 − 4
a)lim
;
x→ 2 x − 2

b) lim−

x→ 2

x2 − 4
( x + 1)(2 − x )
2

;

c) lim +
x → ( − 2)

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

¡

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
âm.

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

Bài làm

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;
2n 4 − n 2

b) lim (

− 3n + 7 cos n
+
)
2n − 1
n+1

Câu2.(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
 x3 − 1
, x≠1

f ( x) =  x − 1
 m + 1, x = 1


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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Đề kiểm tra Đại số và giải tích 11 chương 4

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