1/1x2+1/2x3+1/3x4+1/4x5...1/2001x2002 简便计算

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答案和解析

1/1x2+1/2x3+1/3x4+1/4x5...1/2001x2002
=1-1/2+1/2-1/3+1/3-1/4+.+1/2001-1/2002
=1-1/2002
=2001/2002

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