Tổng hợp đề thi toán cao cấp các khóa Đại học Kinh tế TP HCM

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THI TH

M
THI UEH

BAN QU N TR FANPAGE
CHÍNH TH C
( thi có 04 trang)

T TH C H C PH N
MÔN GI I TÍCH
75
t
t

9
t

Mã đ thi 850
t ....................................................................................................
i h .......................................... MSSV: .............................................
.................................................. STT: .................................................

PH N TR C NGHI M
THÍ SINH CH N
1
2
3

P N
4

NG R I
5
6

NH D U CH O
7
8
9

V O B NG TR
10
11
12

I
13

14

A
B
C
D
h i ih

Câu 1:

đ

lim

xa

xn  a n  na n 1 x  a 
x  a 2

n
a n 1
n  1
nn  1 n 2
C.
a
2

B. h

A.

D.

t

t i i ih
i đ

t

i

hi t
t
h
t h i h y"  y  cos3 x
1
3
A. y  x sin x  cos3x  C1 cos x  C2 sin x, C1 , C2 
16
2
3
1
B. y  x sin x  cos3x  C1 cos x  C2 sin x, C1 , C2 
2
16
1
3
C. y  x sin x  cos3x  C1 cos x  C2 sin x, C1 , C2 
32
8
D.
t
đ
i
Câu 3: h t i
đ
đ
f  x
g x h i t i x0
h m f x h i t i x0 ,
A.

h ih
x0 .
t i đi
f  x
g x h
f x, g x đ
B.
h ih
h i t i x0
x0 .

Câu 2:

i

đ

h ih

D.

x0 ,

f  x

h ih
t i x0 .

C.

h

g x i

Câu 4: h h
A. n  2

đ

f  x
t i đi

g x h

g x h
x0 .

1

xn sin
khi x  0
f x  
x

khi x  0
0
B. n  1

h t thi t h i i

đ

h t thi t h i i

i t
C. n  0

đ h

t i x0
đ

h

h

h
h

f x i

h

h

i

t

i

it i

f x, g x đ

t i x0

đ

g x h

h

h
t

t i

t i

D. n  0
Trang 1/4 - Mã đ thi 850

Câu 5: h
đ

cos ax
A. 
dx h

1  xn
0

h t


B.

 sin x dx h
2



C.

x2n1
1 xn  1 dx h i t


1


B.  x  x  x  
 2 x x x

 log 3 4
C. log 3 4arctanx  
1  x2
1


1 

x
cos
3
D.  sin 3 x  
1




2 3x
i

h

t



1
1  1 
1 
 2 x  x  2 x 



h i h

A. y  2x2  4x  2  e x sin x

C. y  2x2  4x  2  e x cos x
Câu 10: Cho hàm f ( x, y) 

A. f  x i
C. f  x i

h

h
h

h
h

Câu 10: h

i

t
h

t ia

a   0.

i t i a.
i i h t i a.

i D

h

iã

h

Câu 12: h

đ

QD  DP . ã t

h

i ih

t i a.

3
d
3
x tan tdt  2 sin 2 x sin x tan sin x  tan x B. dx

d
e
esin t dt 

dx 0

xln x

ln x

x

ln x

t

i t D  

P
16  P

i

đ

h

sin xx

 tdt  sin x ln cos x  x cot x  x
2x

x

i đ

D.

x

f  x
đ h
h
f  x i t t i x0 ;

f x

h

h t

sin x

xln x

i đ

D.

3

(2)

i h
i t i a.

B. QD  P  16 ln 16  P  14 ln 2

C. QD  P  24 ln 42  P  2.eln ln 2 ln e7

(1)

f x  x  a x :

hi đ h

B. f  x h
D. f  x h

.

cos3 x
C
3
D.  sin xdsin x   cos x  C

D0  50 ln 2 :
A. QD  P  16 ln 16  P  114 ln 2

Câu 13: i

h i đi

B.  cos2 xdx 

 

C.

đ i.

đ

C.  e xd x2  2e x x  1  C

d
A.
dx

:

D. Hàm f ( x, y)

h t
dx
x3
A.  2
 ln
C
x  2x  3
x 1

Câu 11:

đ

B. Hàm f ( x, y) đ t

ti .

x
t
t

đ

t .

C. Hàm f ( x, y) đ t
h

y"  2 y'2 y  4x2 khi y0  2, y' 0  3
B. y  2x2  4x  2  e x tan x
D. M t đ
h

1 1
  xy. h t i
x y

A. Hàm f ( x, y) h
Câu 9: i

i

h t

 

hi

i đ

D.

Câu 6: h
đ

A. xx  x.xx1

Câu 7:

it

0

t i x0

i

h t i

t i x0 ;
Trang 2/4 - Mã đ thi 850

f x i

(3)

f x i

(4)

t

t i x0 ;

t

t i x0 ;

f  x h t h t i x0 ;
f  x h
i ih

(5)
(6)

h t i đ
A. (1), (2), (4), (6)
Câu 14: h
đ

t i x0 ;

B. (2), (3), (4), (5)

h t

C. (1), (2), (3), (5)
1

1 x 
A. lim x ln 
  1
x
 x 

1  x3  1
x0
1  x3 1  x2
5

C. lim

PH N T

U N

Câu 1: M t

t

h it t
a.
b.
Câu 2:

h

h

 x  x2
B. lim    e 3
x2 2
 

t
h
i

1

e1 x  1

x1 ln cosx  1
3

8
25

D. lim

tđ

h
hi



D. (1), (3), (4), (5)

t

th t
ti th t h i t
1
QD1  380  P1; QD2  300  P2 ; C Q   Q 2  90Q  20.
hi h
3
h
h
h it
th t
đ
hi
i h
h it
th t
đ
hi
i h
t iđ i t
hi
h

t

ih

h y"  y  4 xsin x 1 i t

i th
t iđ

t

t

đ

 
y0  0, y'    0.
6

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Trang 3/4 - Mã đ thi 850

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Tổng hợp đề thi toán cao cấp các khóa Đại học Kinh tế TP HCM

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