计算:(1/2+1/3)+(2/3+1/4)+(3/4+1/5)+(4/5+1/6)+…+(18/19+1/20)+(19/20+1/2)

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计算:(1/2+1/3)+(2/3+1/4)+(3/4+1/5)+(4/5+1/6)+…+(18/19+1/20)+(19/20+1/2)
计算:(1/2+1/3)+(2/3+1/4)+(3/4+1/5)+(4/5+1/6)+…+(18/19+1/20)+(19/20+1/2)

计算:(1/2+1/3)+(2/3+1/4)+(3/4+1/5)+(4/5+1/6)+…+(18/19+1/20)+(19/20+1/2)
设u=1/2+1/3+1/4+1/5,
v=1/2+1/3+1/4+1/5+1/6.
原式=(1-u)v-(1-v)u=v-u=1/6

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