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

− 7n5 − 5n 2 + 3
a) lim
;
3n5 − n 2

b) lim (

− 2n 4 + 3 (− 1) n
+
)
5n 4 − 1 (n + 6)

Câu 2.(3đ). Tìm các giới hạn sau

x 2 − 16
a)lim
;
x→ 4 x − 4

b) lim−
x→ 6

x 2 − 36
( x + 1)(6 − x)
2

;

Câu 3.(3đ). Tìm m để hàm số sau liên tục trên

c) lim +
x → ( − 8)

x| x+ 8|
x2 + 8x + 9

¡

 5 x 2 − 2, x ≤ 1
f ( x) =  2
 mx + 2 x − 1, 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


..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................


..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................

..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................


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 2
Câu 1.(2đ). Tìm các giới hạn sau

− 12n 4 + 7n + 3
a) lim

;
2n 4 − n 2

b) lim (

− 3n + 1 cos n
+
)
2n + 3
n+ 9

Câu 2.(3đ). Tìm các giới hạn sau

x4 − 1
a) lim 2
;
x→ − 1 x + 6 x + 5

x2 − 5x + 4
b) lim
;
x → −∞
4− 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
 6m + 8, 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
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................


..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................

..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................
..............................................................................................................................................



..............................................................................................................................................
..............................................................................................................................................