1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+9)(x+10)=2,x等于多少?
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1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+9)(x+10)=2,x等于多少?1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+9)(
1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+9)(x+10)=2,x等于多少?
1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+9)(x+10)=2,x等于多少?
1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+1/(x+9)(x+10)=2,x等于多少?
你是不是写题目的时候少写了点东西?
如果按照你题目所写,可得:
1/(x+1)-1/(x+3)+1/(x+9)=2 (这个貌似很难解出x……)
如果你题目少写了省略号的话,那么题目应该是
1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)=2
则有
1/(x+10)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+9)(x+10)
=1/(x+10)+{[1/(x+1)-1/(x+2)]+[1/(x+2)-1/(x+3)]+……+[1/(x+9)-1/(x+10)]}
=1/(x+10)+[1/(x+1)-1/(x+10)]
=1/(x+1)
所以1/(x+1)=2,x= -1/2
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