1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看
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![1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看](/uploads/image/z/5032829-29-9.jpg?t=1%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%2B------%2B1%2F99%2A100%E8%A6%81%E7%94%A8%E6%8B%86%E9%A1%B9%E7%9B%B8%E6%B6%88%E6%B3%95%E5%B8%AE%E5%BF%99%E7%9C%8B%E7%9C%8B)
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1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看
1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100
要用拆项相消法帮忙看看
1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100要用拆项相消法帮忙看看
1/1*2+1/2*3+1/3*4+1/4*5+------+1/99*100
=1-1/2+1/2-1/3+1/4-1/5+……+199-1/100
=1-1/100
=99/100