请计算1/(2√1+1√2)+1/(3√2+2√3)+∧+1/[(2013√2012)+(2012√2013)]

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请计算1/(2√1+1√2)+1/(3√2+2√3)+∧+1/[(2013√2012)+(2012√2013)]请计算1/(2√1+1√2)+1/(3√2+2√3)+∧+1/[(2013√2012)+

请计算1/(2√1+1√2)+1/(3√2+2√3)+∧+1/[(2013√2012)+(2012√2013)]
请计算1/(2√1+1√2)+1/(3√2+2√3)+∧+1/[(2013√2012)+(2012√2013)]

请计算1/(2√1+1√2)+1/(3√2+2√3)+∧+1/[(2013√2012)+(2012√2013)]
=√1-√2013/2013