<div class=\"quote\"><b>以下是引用<i>jtballack</i>在2004-8-29 21:53:00的发言:</b><br/><p>高手相助:</p><p>证明:</p><p>1/2*3/4*5/6..............*99/100<1/10</p></div><p>(1/2 x 3/4 x 5/6 x ... x 99/100) x (2/3 x 4/5 x 6/7 x ... x 98/99) = 1/2 x 2/3 x 3/4 x 4/5 x ... x 98/99 x 99/100 = 1/100 = 1/10 x 1/10 .</p><p>由于1/2 < 2/3 , 3/4 < 4/5 , ... , 97/98 < 98/99 , 99/100 < 1 , 故前者 < 后者, 从而前者 < 1/10 . </p>