1/1x2+1/2x3+1/3x4+……+1/9x1o= 1/1x2-1/2x3-1/3x4……-1/1x2+1/2x3+1/3x4+……+1/9x1o=1/1x2-1/2x3-1/3x4……-1/9x10=

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1/1x2+1/2x3+1/3x4+……+1/9x1o= 1/1x2-1/2x3-1/3x4……-1/1x2+1/2x3+1/3x4+……+1/9x1o=1/1x2-1/2x3-1/3x4……-1/9x10=
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1/1x2+1/2x3+1/3x4+……+1/9x1o= 1/1x2-1/2x3-1/3x4……-1/1x2+1/2x3+1/3x4+……+1/9x1o=1/1x2-1/2x3-1/3x4……-1/9x10=
1/1x2+1/2x3+1/3x4+……+1/9x1o= 1/1x2-1/2x3-1/3x4……-
1/1x2+1/2x3+1/3x4+……+1/9x1o=
1/1x2-1/2x3-1/3x4……-1/9x10=

1/1x2+1/2x3+1/3x4+……+1/9x1o= 1/1x2-1/2x3-1/3x4……-1/1x2+1/2x3+1/3x4+……+1/9x1o=1/1x2-1/2x3-1/3x4……-1/9x10=
=1-1/2+1/2-1/3+1/3-1/4+……+1/9-1/10
=1-1/10
=9/10