1/1×2+1/2×3+1/3×4+1/4×5+···+1/98×99+1/99×100 要过程在线等
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![1/1×2+1/2×3+1/3×4+1/4×5+···+1/98×99+1/99×100 要过程在线等](/uploads/image/z/747707-59-7.jpg?t=1%2F1%C3%972%2B1%2F2%C3%973%2B1%2F3%C3%974%2B1%2F4%C3%975%2B%C2%B7%C2%B7%C2%B7%2B1%2F98%C3%9799%2B1%2F99%C3%97100+%E8%A6%81%E8%BF%87%E7%A8%8B%E5%9C%A8%E7%BA%BF%E7%AD%89)
1/1×2+1/2×3+1/3×4+1/4×5+···+1/98×99+1/99×100 要过程在线等
1/1×2+1/2×3+1/3×4+1/4×5+···+1/98×99+1/99×100 要过程
在线等
1/1×2+1/2×3+1/3×4+1/4×5+···+1/98×99+1/99×100 要过程在线等
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+……+1/99-1/100
=1-1/100
=99/100