–1 1x4 =_ i x

xx

2

3=

x

x

2

5 105

+

+=

b

a3

7

125+

+=

3

150

x=

( ),

,–f x

ax b x

x b x

3

32

2

#=

+*

( )f xx

3=

( )f x x=

1 3 5 7 9f

5 7 1 9 3= f p

1 3 5 7 9g

5 7 9 3 1= f p

x

y

–2 2

k

f(x)

( )–

–f x

x

x

5

3 6=

A B

E

D C

13

5

EB

DE

5

11

7

17

5

13

°

°–

°

°

sin

sin

cos

cos

12

36

12

36

–2

1

i1 36

+_ i

2

1

2

3

. 3 –18

3 16_ i 3 –

2

18

4

3 116 +

– . k1 3k

k

5

24+

=_ _i i/

A

B C

24 3 36 3 48 3

72 3

7

3

–

–lim

x

x

2 4

32x 2

5

"f p

x

y

–3 2 8–5

3

4

5

7

y = f(x)

( ) ( )lim limf x f xx x2 0–

+" "

+

360 121

720 240

–x dx22

6

#

2

3

2

9

3

16

–

–

A

1 2 3

5 2 1

2 0 1

=

R

T

SSSSS

V

X

WWWWW

a an nn

3 21

2+

=_ i/

( ) – . –f x x x2 2 4 2= _ i

–2

7 –

2

3

3

1

x

y

OA

d

D

f(x)

–y

x

x

25

3 12

=+

–3

1

–25

1

–sin cosx dx x dx/

/2 2

3

0

0

3

##

6

3

3

ol-

x

x dx

12 +#

ln x c12 + +

. ln x c2

112 + + . ln x c2 12 + +

x

x c3

32+ +

( ) – –f x x x x3

18 13 2= +

limsin

x

x

2

3

2

3x

="3

–lim x x1 5 0x

+ + ="3_ i

–lim x2 4 0x 2

="

x

y

–2 1

2

1

f(x)

( ) ' ( )f x x f x dx0

1

+7 A#

– –x x5 2+

7 24+ –7 24

2 6 6 3

– ( – )

x y

x

y

yx

x y1 1

2 2

2

+

+

–

–.

– –

( ). ( – )

x

x x

x x

xx

9

5 6

2

2 31

2

2

22+ +

.2

2

23

3

3

2

1

h

+

+

+

2

1

2

3

2

5

–x x2 4< +

sin cosx x4

1F =

15

2

51

2

1

15

8

5

3

( ) . ( – )

x

x x6 250

2

2 2

#+

x xx x1 1

1 21 2

+ + +

–

sin

cos

x

x2 2

tanx

22

– tanx

22

tanx

2

1

2

cosx

22

x y2 32

+ =

cosx4

3=

–4

3 –

4

1

4

1

4

3

54

A

C

BD

d1

d2

3

1

9

7

3

1 –

3

1 –

9

7–

9

8

–i 1=

3 3 4 3 2

9 3

6 3 12 3

–i 1=

W WW

W

0 11

0+ +

.x x64log x2 =

( )x f xk kk 1

3

=/

2

1

k k4 3

2

k 21 + +

3

=/

6

5

4

3

3

2

2

1

3

1

( )

, 0

,

f xx

xx

x a x2 2 0

!

=

+ + =

Z

[

\

]]]

]]]

( ) ( )lim f x f 0x 0– ="

–

–lim

cos sin

sin cos

x a

x ax a"

y

x0 4

2

f(x)

y

x0 5

A) y

x0 3

1

B)

y

x0

4

D)

–1

y

x0 4

2

C)

3

y

x0 4

E)

1

3

( ) sinf x x=

'f6

d n

2

6

3

6

4

6

4

3

2

3

–

–lim lim

y x

x y

x y x2 2 2

5 5

" "f p

O B

Ax2+ y2 = 16

4 2 8 2

–2

3 –

2

1

2

1

2

3

y

xO a

f(x)

b

' ( )f x

10>

( ) –xf x dx x x x2 54 3 2= + +#

e

edx

1x

xn

0

2

+

,

#

n2

3, n

3

2, n5,

n6, n8,

–

( ) – ( )

limh x

f h dh f x dx

h x

xh

11

"

##

– x dx4 2

0

2

#

cos tdt4 2

0

2

# cot tdt4 2

0

2

#

cos tdt2

0

2

# sin tdt4 2

0

2

#

sin tdt4 2

0

2

#

y nx,=

e1

–

x

1 4 2

0 3 1

1 2

R

T

SSSSS

V

X

WWWWW

,

,–

,

,

0 04

0 2

0 001

0 1

x

xy

2 5

8 21

+

+= +

– ––

xx

33

54=

–x y

z3

1

5

1=

+=

cb

3

2

4

3

3

4

4

5

( ) –f x x2 5 3= +

( )– –

– –f x

x x x

x x x

2

3 2 6

23 2

3 2=

+

+

4

3

7

5

2

3

4

9

( ), –

, –f x

x x

x

2

4 2

2

#= *

A) y

x

4

2

–2

B) y

x

4

2

C) y

x

4

–2

D) y

x

4

–2

E) y

x

4

–2

x

y

f(x)

x21 1

sinx3

2=

–

3

1

–

2

1 – 2

2

5

10

5

–sin cosx x3

2=

9

1

9

4

9

5

3

1

3

2

°

° °

sin

cos cos

70

80 40+

2

1 2

2

3 3

.arg Z Z9

512

2

=a k

argZ

Z

92

1 =f p

12

9

8

6

5

Z 8=

2 –9Z Z i4+ =

Z

3 5 10

Z 3#

– 5 –Z i12

–log log x 5 13 2 #_ i9 C

– – .log log logx x2 2 5 22 5 2+ =_ _i i

3

10

2

9

2

11

–log log log x 1 12 2 2 =_a ik9 C

2 3 4 3

( )f k–k 2

3

=/

1–k 1

1

k 3

11

+=d n%

8

1

6

1

4

1

3

1

21

1

15

1

10

1

21

2

5

1

A

x

4 2 3

1 4 5

4 6

=

R

T

SSSSS

V

X

WWWWW

–1

limln x

e

1x

x

0

3

+" _ i

( )5 –

lim f xx

x

2 1

13

x+

+=

"3d n

( ) –lim f x 1x"3_ i

–

2

1

3

2

–

– 2 –lim

x

x x

8

4x 2 2

3

"f p

( ) lnf xx

x

8

42

=+

+f p

–2

1–

6

1

x

y

2 5

6

d

y = f(x)

x

y

14

y = f(x)

–2–4 0

x

dx2

3

5

#

–5

1 –

3

1

5

1

15

2

30

1

x a dx2 102

3

+ =_ i#

yx2

=

x

y

y x

y = x2

y x=

10

10

3

2

5

3

tan x dx2/

2

0

4

+ _ i#

4

1

+ 4

2

( ) –f x x6 12= +

7 6 5

( ) –

–:

–

x y xy

x y

y x

x y

2

3 3 2 2

+ +

–

: ( )x y

x yx y

4 42 2

++

( ) –f x x49 2=

A B+

51

3

1

25

1

125

3

125

1

( ) ( )

( ) ( )

f f

f f

5 7

3 1

+

+

3

1

2

1

xx2

412

+ =

sinx – cosx

sinx cosx

2

7+=

9

5

4

5

5

7

5

9

10

9

x02

< <

1– cosx

1 cosx–

1 cosx

1– cosx+

+

2

1

sin2x4

3=

4

1

2

1

3

2

4

3

3

2

.Z

ZZ Z

2

11 2+f p

8

3

4

1

8

1

x n n4kk

n2

1= +

=%

3

4

4

3

2

1

2

1

4

2

–2

1–

2

1

( )

| |0

,

f x xx

x

x5 0

=

=

Z

[

\

]]

]]

lim f (x) lim f (x)x 1 x 0

+" " +

limx – 4

x 1 – 2x ab

x 2 2

+ +=

"

( )f xx ax x

x b x

1

4 1

<2=

+

+*

lim f (x) 7x –4

=" +

lim f (x) 9x 0

=" +

lim f (x) 7x 3

="

lim f (x) 4x 6

="

lim f (x) 7x 6–

="

Aa

24

1= < F

( )k k Rd

–

––

A12

21

= < F

( )f x n x 12,= +

2n, 2

1 n4,

.( . )

edx

d e x–x

x

2

2 2

limcosx – sina

sinx – cosax a"

,2

1

8

1d n

. ( ) –x f x dx x x x2 34 3 2= + +#

( )e e dx–3

x xn

0

+,

#

tt

dt1

1

3

+d n# t

dt11

3n

20

+,

f p#

t

dt11

3n

0

+,

d n# t

dt112

1

3

+f p#

tt

dt12

1

3

+f p#

| sinx – 1 | dx0

3

#

–

6

1

6

2 3 +

–

6

3 2

–

6

2 3

5

2

( )f x dx3 602

4

=#

( )f x dx23

6

#

( )f xx

x 1=

+

( )f x dx–e

1

2

12 +

#

3

14

3

10

3

4

– x3 41# – y1 71 1

– –x 3 7 61

–B

2 5

5 15

5

+=

–

2 5

5 3

+

–B

4 –

B

2

B

1

B

2

B

4

y

x

5

7

–4

3

–3

4

– , ,3 3 3 5j _i7 A – , ,3 3 3 5j_ _i A – , ,4 4 4 7j_ _i A – ,4 7_ A – ,3 5_ A

–

–f x

x x ise

x x ise

4 3

2 3

1

$=

+_ i *

,3 3i7 ,1 3i7 ,1 37 A – ,13_ i – , 33_ i

( ) 6 –f x x 2= +

x4 8# # – x4 2# #

– x8 0# # – x8 4# #

– x8 41 1

:f1 2 3 4 5

4 5 2 1 3f p

:g1 2 3 4 5

3 4 2 5 1f p

g f 3–1 _a ik

6

1

4

1

3

1

3

2

4

3

–54

–51

3

2

54

x 3=

– –:

x x

x x x

x1

1

1

13 2

4 2

+ +

+

+

cos x2

169

123

169

119

144

13

13

1

°

° – °°

cos

sin cossin

10

10 102 10

2

+_ i

3

1

2

1

°

–°sin cos40

3

40

1

°. °

°

cos cos

cos

40 50

1 20+

–Z Z1 3= +

–x2

1=

–Z i3= +

2 – .cos sini6

5

6

5 d n

.cos sini23

4

3

4 +d n

.cos sini23

5

3

5 +d n

.cos sini46

5

6

5 +d n

.cos sini26

5

6

5 +d n

a

a

1

2

+

aa2 1+

a

a

3

2

+

a

a 3+

a

3

4

–Z

Z

1

1+

Z

i57

5

6+ i

17

13

17

6+

i2

1

2

3+ – i

3

2

4

3

– i17

15

17

8

log log log24

1

24

1

24

1

9 4 16

+ +

4

1

3

1

3

– –log x2 4 11 #1 _ i

log b4

1a = log c

8

1a =

logc

ba

2f p

–4

1

4

1

8

3

–

mod

mod

mod

mod

a

n

n n

n n

n n

2 0 4

1 1 4

2 4

3 4

n

2

/

/

/

/

=+

____

iiii

Z

[

\

]]]]

]]]

b an kk

n

3=

=/

4 –3 3

1 4 0

5 4 0

3 2

A5 4

= > H

– –

–

4 2

3 5> H

–

–3

14

2

7

3

2

2

1

R

T

SSSSS

V

X

WWWWW

–

– –2

74

3 6

R

T

SSSS

V

X

WWWW

–2

5

2

9

6 2

R

T

SSSS

V

X

WWWW

–

–2

13

2

9

6 4

R

T

SSSS

V

X

WWWW

8n

n 2

50

=/

–

( ) –lim

x

f x

3

5

x 3"

y

x

5

91 6

f(x) A

f x› _ i (7) ( )f f 8<› ›

( )f x›

y

xa O b

f(x)

( )f x

1 ( )f x 2_ i

( )f x 3_ i ( )f x 47 A

( )f xx

ax x2

12 14

3 2= + + +

4

21

3

17

y

x–2–4 O 1 3 4

f›(x)

y

x–2 O 2 8

f›(x)

,f x y x dy y dx= +_ i ##

x

n xdx

e 2

1

2

,#

3

8

3

10

y

x

6

2 6

1

f

. ( ) – ( )

x

x f x f xdx

›

22

6

#

2

1

3

1

4

1

5

1

6

1

( ) 3 –f x x dx2= _ i#

–x 2=

xdx

2 1

6

0

4

+#

cos

sin

x

xdx

20

6

#

3

2

2 –

3

3 3 3

f x dx4 2 5–1

2

+ =_ i#

f x dx2–1

5

_ i#

( ) –

–, 5

,

f x x

xx

a x5

5 5

5

!=

=

Z

[

\

]]

]]

2

1

3

1

4

1

( )

3 1

4 1f x

mx n x

x

x m x5 12

2

1

=

+

=

+

Z

[

\

]]

]]

5

3

511

25

33

–lim

bx

a x ax x

3

4 4 12

–x 2

3 2

+

+ + +=

" 3

_ i

y

x

5

4

82

–2

10

y

x

6

3

4

f(x)

g(x)

lim gof xx 3–"_ _i i