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