1/1X2+1/2X3+1/3X4+……1/2003X2004 用拆项法解决

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1/1X2+1/2X3+1/3X4+……1/2003X2004用拆项法解决1/1X2+1/2X3+1/3X4+……1/2003X2004用拆项法解决1/1X2+1/2X3+1/3X4+……1/2003

1/1X2+1/2X3+1/3X4+……1/2003X2004 用拆项法解决
1/1X2+1/2X3+1/3X4+……1/2003X2004 用拆项法解决

1/1X2+1/2X3+1/3X4+……1/2003X2004 用拆项法解决
1/1X2+1/2X3+1/3X4+……1/2003X2004
=1-1/2+1/2-1/3+1/3-1/4+...+1/2003-1/2004
=1-1/2004
=2003/2004