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601 1 2
A
nn
xxx
2
cos
2
cos
2
coslim 2∞→
)2,3,(n
2
1
2
1
,
2
1
11 =+== −nn aaa n
n
aaa 21lim
∞→
)(xf I 0>L
Ixx ∈21, 2121 )()( xxLxfxf −≤− )(xf I Lipschitz
I Lipschitz )(xf
)(xf I Lipschitz
)(xf I
Lipschitz
)(xf [0, )+∞ 0 ( ) ( )f x f x′≤ ≤ (0) 0f =
[0, )+∞ ( ) 0f x ≡
)(xf ]1,0[ axf ≤)( bxf ≤)(''
0b,0 >>a )1,0(∈x
2
2)('
b
axf +≤
1
(ln ln )
ln
x dx
x
+∫
∫
∞+
0
arctan
dx
x
x
p
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