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

3n3 − 5n + 3
a) lim
;
2n3 − n 2

b) lim (

− 3n + 7 (− 1) n
+
)
2n − 1 ( n + 1)

Câu2.(3đ). Tìm các giới hạn sau

x 2 + 9 x + 20
a) lim
;
x → ( − 4)
x2 + 4x

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

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

x∈ (0,1).
Bài làm

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a ) lim

− 2 n 3 − 5n + 3
;
4n 3 − n 2

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 → ( − 2)

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

¡

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.

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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