1/(x+1)(x+2)+1/(x+3)(x+4)+1/(x+5)(x+6)+1/(x+7)(x+8)+1/(x+9)(x+10)怎么解
题目
1/(x+1)(x+2)+1/(x+3)(x+4)+1/(x+5)(x+6)+1/(x+7)(x+8)+1/(x+9)(x+10)怎么解
答案
拆项啊
1/(x+1)(x+2)=1/(x+1)-1/(x+2)
...
所以=1/(x+1)-1/(x+10)
=9/(x+1)(x+10)
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