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++
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∞→∞→
nn
nnnn
nn

è  
 ( )?1sinlim
2
=+
∞→
n
n
π  
 ( )?sinlim
22
=+
∞→
nn
n
π 
}3 ~ 
 ( ) () ( )πππ nnn
n
nn
+?=+
∞→∞→
1sin1lim1sinlim
22

() 0
1
1
sin1lim
2
=
++
=
∞→
nn
n
n
π 

 ( ) ( )πππ nnnnn
nn
+=+
∞→∞→
2222
sinlimsinlim 
1
2
sinsinlim
2
2
2
=
=
++
=
∞→
π
π
nnn
n
n

è ?
1
2
1
1lim =+++
∞→
n
n
n
L
}3 ~
n
n
n
n
≤+++≤
1
2
1
11L1
1
2
1
1lim =+++?
∞→
n
n
n
L
è ￡
ü

2
2
1
πn
n
x
n
sin+
= ?1í kv
?
?
^í?￥
b
￡ | V¤? { ￥B?0
12?= kn }
n
x
2
)12()1(1
2
2
)12sin()12(1
1
12
+
=
+
=
k
kk
x
k
k
π

L,,21=k 
A ?μ yN í?b∞=
∞→
12k
k
xlim }{
n
x
| V¤? { ￥?B0
kn 2= }
n
x
2
1
2
sin21
2
=
+
=
πkk
x
k

L,,21=k 
y7 { ? V
^í kv
b}
n
x
è ?|f
 
^B?è¨s
?f
b
>
=
<?
==
0,1
0,0
0,1
sgn)(
x
x
x
xxf
è ¨f
 
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?f
b
>
≤
=
0,1
0,0
)(
x
x
xf
è  |?f
 9
^B?è¨s
f
b
U
+<≤++
+<≤
==
21,1
1,
][)(
nxnn
nxnn
xxf
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18
2008
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