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解方程:1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x+10)=5/24(x+10)
人气:210 ℃ 时间:2019-10-29 21:18:56
解答
1/x(x+2)+1/(x+2)(x+4)+……+1/(x+8)(x+10)=5/24(x+10) 1/2*[1/x-1/(x+2)]+1/2*[1/(x+2)-1/(x+4)]+.+1/2*[1/(x+8)-1/(x+10)]=5/24(x+10)1/2*[1/x-1/(x+2)+1/(x+2)-1/(x+4)+.+1/(x+8)-1/(x+10)]=5/24(x+10)1/2...
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