1/(1×2)+1/(2×3)+1/(3×4)……+1/(98×99)
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![1/(1×2)+1/(2×3)+1/(3×4)……+1/(98×99)](/uploads/image/z/657035-35-5.jpg?t=1%2F%281%C3%972%29%2B1%2F%282%C3%973%29%2B1%2F%283%C3%974%29%E2%80%A6%E2%80%A6%2B1%2F%2898%C3%9799%29)
1/(1×2)+1/(2×3)+1/(3×4)……+1/(98×99)
1/(1×2)+1/(2×3)+1/(3×4)……+1/(98×99)
1/(1×2)+1/(2×3)+1/(3×4)……+1/(98×99)
1/(1*2)=1-1/2
1/(2*3)=(1/2)-(1/3)
1/(3*4)=(1/3)-(1/4)
以此类推
最后答案为1-1/99=98/99