比较1/2*3/4*5/6*7/8*......97/98*99/100与1/10的大小?详细思路步骤如何,盼!
參考答案:解:2/3×4/5×6/7×8/9……×100/101
>1/2×3/4×5/6×7/8……×99/100
故(1/2×3/4×5/6×7/8……×99/100)^2
<(1/2×3/4×5/6×7/8……×99/100)×(2/3×4/5×6/7×8/9……×100/101)
<1/101<1/100
两边根号
故(1/2×3/4×5/6×7/8……×99/100)<1/10