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· K < Üpœ, r\r  Á ž m 2006 c 4 14 F

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(1)

H ® Œ Æ ê Æ X Á ò

 4  1 1 

2005 / 2006 Æc 1  ÆÏ ‘ § ¶ ¡ êÆ©Û

Áòa. A ò Á/ª 4ò ¦ ^  ? 2005 ?

· K < Üpœ, r\r  Á ž m 2006 c 4  14 F

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1.  f ´½Â3 [a, b] þk.¼ê, eé ∀ > 0, Ñ3˜‡© π : a = x 0 <

x 1 < · · · < x n = b, ¦

n−1

X

i=0

ω i · ∆x i < ,

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H ® Œ Æê Æ X Á ò  4  1 3 

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1. y² lim A→+∞ R 1 A sin x x

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n→∞ lim

Z 1 0

f (x) · g(nx)dx = (

Z 1 0

f (x)dx) · (

Z 1 0

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(ii)  f ∈ C 1 [0, 2π]. y²

Z 2π 0

f (x) cos(nx)dx = o( 1 n ).

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