nx
lim
n
x
n
a
lim
n
x
2
n
lim
x
2
1
n
n
a
lim
n
x
2
n
lim
x
2
1
n
n
a
lim
n
x
n
a
lim
n
x
n
a
lim
n
x
3
n
lim
x
3
1
n
n
a
lim
n
x
3
n
lim
x
3
1
n
n
a
lim
n
x
n
a
nx
a n
knx
knx
a k
2nx
3
f x
,
y
f x
0
1
2
f
x
( ) 0
y
( )
f x
f
x
( )
x
f
3
f
x
( )
D
,
x y x
2
2
y
2 ,
x x
2
2
y
2
y
,
f x y
D
f x y x y
, d d
D
4
0
2cos
d
0
f r
cos , sin
r
d
r r
2
4
2sin
d
0
f r
cos , sin
r
d
r r
4
0
2sin
d
0
x
1
2 d
0
x
1
2
1
x
f r
cos , sin
r
d
r r
2
4
f x y
,
d
y
2cos
d
0
f r
cos , sin
r
d
r r
2
x x
2
1
2 d
x
0
x
,
f x y
d
y
D
1
( ,
r
) 0
r
,0
4
2sin
D
2
( ,
r
)
4
2
,0
r
2cos
( ,
f x y dxdy
)
4
0
d
2sin
0
D
( cos , sin )
f r
r
rdr
2
4
d
2cos
0
( cos , sin )
f r
r
rdr
n
1 3n
n
1
n
1
n
ln(1
1
n
)
2
n
1
n
( 1)
ln
n
1
n
!
n
n
n
lim
n
1
n
1
n
3
n
n
3
lim
n
1
n
3
n
1
3
1
n
1 3n
n
1
n
ln(1
1
n
)
1
3
n
2
P
1
n
)
ln(1
n
1
1
n
( 1)
n
ln
n
1
n
n
1
1
( 1)
n
ln
n
n
1
( 1)
n
ln
n
n
1
1
ln
n
1
ln
n
n
1
1
( 1)
ln
n
n
n
1
lim
n
(
1)!
(
n
1
n
1)
n
!
n
n
n
lim
n
(
n
1)!
!
n
(
n
n
n
1)
lim
n
n
1
n
n
n
1
1
e
1
n
1
!
n
n
n
A
1 1
1 2
1 4
1
a
2
a
b
1
d
2
d
1,2
Ax b
a
d
,
a
d
,
a
d
,
a
d
,
( , )
A b
1 1
1 2
1 4
1
a
2
a
1
d
2
d
1 1
0 1
0 0 (
1
1
a
1)(
a
a
1
1
d
1)(
d
2)
2)
(
d
(
)
r A
(
r A b
, ) 3
1a
2a
1d
d
2
,
f x x x
3
,
1
2
x Py
2
2y
1
2
y
2
2
y
3
P
,
(
e e e
1
,
2
)
3
(
Q e
1
,
,
e e
3
2
)
f
(
,
x x x
1
3
,
2
)
x Qy
2
2y
1
2
y
2
2
y
3
2
2y
1
2
y
2
2
y
3
2
2y
1
2
y
2
2
y
3
2
2y
1
2
y
2
2
y
3
)
T
y P AP y
(
T
2
2
y
1
y
2
2
2
y
3
x Py
f
T
x Ax
TP AP
2 0
0 1
0 0
0
0
1
Q P
1
0
0
0
0
0
1
1 0
PC
T
Q AQ C P AP C
(
)
T
T
2
0
0
0
0
1 0
0
1
)
T
y Q AQ y
(
T
2
2
y
1
y
2
2
2
y
3
f
T
x Ax
,A B
P AB
P A P B
P AB
P A P B
P AB
P B
P A
2
P AB
P B
P A
2
AB
,
A AB
B
(
P AB
)
(
)
P A
(
P AB
)
(
P B
)
(
P AB
)
(
(
P A P B
)
(
)
P A
)
2
(
P B
)
X B m 1
X X
~
,
,
,
,
X
,
2
n
X
E
n
1
i
X
i
X
2
m
1
1
n
m n
1
1
m
1
n
1
1
mn
1
2
S
n
n
1
1
1
i
(
X
i
X
2
)
2(
E S
)
D X
(
)
(
X
i
X
2
) ]
(
n
1)
(
E S
2
)
)
m n
1) (1
(
E
[
n
i
1
__________.
D X
(
)
lim
0
x
(1
)
m
ln(cos )
x
2
x
1
2
ln(1 cos
2
x
x
1)
lim
0
x
cos
x
2
x
1
1
2
2
x
( )
x
0
xf
( )d ,
t
t
(1) 1,
(1) 5,
f
(1)
________.
lim
0
x
( )
f x
2
( )
f x
( )x
( )
x
2
x
0
f
( )
t dt
2
2
(
x f x
2
)
(1)
f
( )
t dt
1
1
0
(1)
1
0
f
( )
t dt
2 (1) 5
f
(1) 1
(1) 5
f
(1)
2
z
( ,
z x y
)
e
x
2
y
z
3
xyz
1
d
z
(0,0)
_________.
1
3
dx
2
3
dy
x
0
y
0
e
x
2
y
z
3
xyz
1
z
0
e
x
2
y
z
3
xyz
1
x
2
y
3
z
(
d e
xyz
)
e
x
2
y
3
z
(
d x
2
y
3 )
z
(
d xyz
)
e
x
2
y
3 (
z
dx
2
dy
3 )
dz
yzdx
xzdy
xydz
0
x
0
y
0
z
0
dx
2
dy
3
dz
0
dz
(0,0)
1
3
dx
2
3
dy
y
( )
y x
y
y
2
y
0
0x
( )
y x
________.
( )
y x
2
e
x
x
2
e
y
y
2
y
0
2
2 0
2
1
( )
y x
C e
1
2
x
x
C e
2
( )
y x
0x
y
(0) 3
y
(0)
0
1 1C
C
2
2
( )
y x
2
e
x
x
2
e
A
2, 2,1
B A
2
A E
,
B
________.
21
A
2, 2,1.
B
3,7,1.
|
B
| 3 7 1 21
(
)X Y
,
N
(1,0;1,1;0)
{
P XY Y
0} _________.
1
2
X N
~
(1,1), ~
Y N
(0,1)
X Y
{
P XY Y
0}
{(
P X
1)
Y
0}
{
P X
1 0,
Y
0}
{
P X
1 0,
Y
0}
{
P X
1} {
P Y
0}
{
P X
1} {
P Y
0}
1 1
2 2
1 1
2 2
1
2
( )
f x
x a
ln(1
x
)
bx
sin ,
( )
x g x
c
kx
3
( )
f x
( )g x
x
0
,a b k
,
a
1,
b
1
k
,
2
1
3
ln(1
x
)
x
2
x
2
3
x
3
(
o x
3
)
sin
x
x
3
x
3!
(
o x
3
)
1 lim
0
x
( )
f x
( )
g x
lim
0
x
x a
ln(1
)
x
3
kx
bx
sin
x
lim
0
x
(1
)
a x
(
b
3
x
3
(
o x
)
2
a
3
a
)
x
2
3
kx
0
0
1
a
ab
2
a
3
k
1
1
a
1
b
2
1
k
3
lim1
0
x
)(
xf
)(
xg
lim
0
x
ax
1ln(
)
x
3
kx
bx
sin
x
lim
0
x
1
a
1
x
sin
b
x
2
3
kx
bx
cos
x
lim 2
3
kx
0
x
0
1(
lim
0
x
a
1
x
b
sin
x
bx
cos
x
)
lim
0
x
1(
a
)
0
lim1
0
x
)(
xf
)(
xg
lim
0
x
1
1
1
x
sin
b
x
2
3
kx
bx
cos
x
lim
0
x
lim
0
x
lim
0
x
1[
lim
0
x
bx
1(
x
sin)
3
kx
x
bx
2
1
x
1(
x
)
cos
x
bx
1(
x
sin)
x
2
3
kx
bx
1(
x
)
cos
x
1
b
sin
bx
1(
x
)
cos
bx
1(
x
bx
cos
x
bx
1(
x
sin)
x
cos
)
x
6
kx
lim
0
x
6
kx
0
b
sin
x
1(2
b
x
)
cos
x
bx
cos
x
bx
1(
x
sin)
x
]
lim
0
x
21(
b
cos
x
)
0
1b
2
lim1
0
x
lim
0
x
1
2
k6
)(
xf
)(
xg
1
2
cos
11
2
lim
0
x
x
cos
x
1(
x
sin)
x
1
2
1k
3
.
sin
x
1(
x
)
cos
x
x
cos
x
1
2
x
1(
x
sin)
x
1
2
kx
6
cos
x
1
2
x
sin
6
k
x
1
2
1(
x
sin)
x
1
2
x
sin
x
1
2
x
1(
x
)
cos
x
(
x x
)d d
y x y
D
D
4
2
5
{( ,
x y x
)
2
2
y
2,
y
x
2
}.
(
x x
)
y dxdy
D
2
x dxdy
D
1
2
2
0
1
0
2
2
x
( 2
2
x
2
x dy
2
x
2
x dx
)
dx
2
x
2
1
0
2
x
2
2
x dx
x
t
2 sin
2
2
5
4
0
2sin 2cos
t
2
2
tdt
2
5
2
4
0
2
sin 2
tdt
t
2
u
2
0
2
5
2
sin
udu
2
5
4
2
5
.
Q
P
(
0)
P
MC
11
C Q
(
) 1600
Q
2
Q
40
P
P
30
(
L Q R Q C Q PQ C Q
)
(
)
(
)
(
)
Q
dL
dQ
P Q
dP
dQ
C Q P Q
(
)
dP
dQ
MC
dL
dQ
0
(
)L Q
P dQ
Q dP
dP
dQ
1
P
Q
P
MC
11
MC C Q
(
)
2
Q
2(40
P
)
P dQ
Q dP
P
40
P