原式=1/2+1/6+1/12+...+1/9900
=1/(1×2)+1/(2×3)+1/(3×4)+...+1/(99×100)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1-1/100
=99/100
解答的很详细了,应该可以看的很清楚.祝学习愉快!
原式=1/2+1/6+1/12+...+1/9900
=1/(1×2)+1/(2×3)+1/(3×4)+...+1/(99×100)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1-1/100
=99/100
解答的很详细了,应该可以看的很清楚.祝学习愉快!