作业帮1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=（）简算
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/03 10:42:39
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=（）简算
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=（）简算
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100=（）简算
1/1×2+1/2×3+1/3×4+1/4×5+……+1/98×99+1/99×100
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/98-1/99)+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/98-1/99+1/99-1/100
=1-1/100
=99/100