计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...+1/(x+2010)(x+2011)
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计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...+1/(x+2010)(x+2011)计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...+
计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...+1/(x+2010)(x+2011)
计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...+1/(x+2010)(x+2011)
计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+...+1/(x+2010)(x+2011)
1/n（n+1）=1/n-1/（n+1）
所以
=1/x-1/x+1+1/x+1-1/x+2.+1/x+2010-1/x+2011
=1/x-1/（x+2011）
=2011/x（x+2011）
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