1/1X2+1/2X3+1/3X4…+1/2010X2011= 急.

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1/1X2+1/2X3+1/3X4…+1/2010X2011=急.1/1X2+1/2X3+1/3X4…+1/2010X2011=急.1/1X2+1/2X3+1/3X4…+1/2010X2011=急.1

1/1X2+1/2X3+1/3X4…+1/2010X2011= 急.
1/1X2+1/2X3+1/3X4…+1/2010X2011= 急.

1/1X2+1/2X3+1/3X4…+1/2010X2011= 急.
1/1X2+1/2X3+1/3X4…+1/2010X2011
=(1-1/2)+(1/2-1/3)+.+(1/2010-1/2011)
=1-1/2+1/2-1/3+1/3-...-1/2010+1/2010-1/2011
=1-1/2011
=2010/2011

=1-1/2+1/2-1/3+1/3+.......+1/2010-1/2011
=1-1/2011
=2010/2011