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初中题l1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/2005-1/2004I

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初中题l1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/2005-1/2004I
初中题l1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/2005-1/2004I
l1/3-1/2I+I1/4-1/3I+I1/5-1/4I+.+I1/2005-1/2004I
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2004-1/2005
=1/2-1/2005
=2003/4010