1/(1x2)+1/(2x3)+1/(3x4)+......+1/(99x100)=?要计算过程.

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1/(1x2)+1/(2x3)+1/(3x4)+......+1/(99x100)=?要计算过程.
1/(1x2)+1/(2x3)+1/(3x4)+......+1/(99x100)=?要计算过程.

1/(1x2)+1/(2x3)+1/(3x4)+......+1/(99x100)=?要计算过程.
1/(1x2)+1/(2x3)+1/(3x4)+......+1/(99x100)
=1/1-1/2+1/2-1/3+1/3+1/4+......+1/99-1/100
=1-1/100
=99/100

=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1/1-1/100
=99/100