1/（1×2×3）+1／（2×3×4）+1/（3×4×5）+.+1/（98×99×100）=?
要用方法!
人气：114 ℃ 时间：2020-05-05 02:53:08
解答
1/（1×2×3）+1／（2×3×4）+1/（3×4×5）+.+1/（98×99×100）=1/2 × [1/（1×2） - 1/(2×3) + 1/(2×3)-1/(3×4)+ 1/(3×4)-1/(4×5)+.+ 1/(98×99)-1/(99×100)]=1/2 × [1/（1×2） - 1/(99×100)]=1/2 × ...
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