﹙1-½²﹚﹙1-1/3²﹚﹙1-¼²﹚…﹙1-1/99²﹚﹙1-1/100²﹚
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/15 07:48:08
![﹙1-½²﹚﹙1-1/3²﹚﹙1-¼²﹚…﹙1-1/99²﹚﹙1-1/100²﹚](/uploads/image/z/657557-53-7.jpg?t=%EF%B9%991-%26%23189%3B%26%23178%3B%EF%B9%9A%EF%B9%991-1%2F3%26%23178%3B%EF%B9%9A%EF%B9%991-%26%23188%3B%26%23178%3B%EF%B9%9A%E2%80%A6%EF%B9%991-1%2F99%26%23178%3B%EF%B9%9A%EF%B9%991-1%2F100%26%23178%3B%EF%B9%9A)
xRAN@
iC)U&E0D/B1֘4TcT.펛>Wpwo`9"k
d}6d"0U IfEtg%I]BYqlk]iiFvwʉɐcUF*|Qn?W x_wp=}#ZsnZ֭*JNoΦ.$fo,) 4
{H-KC\ar
#"ۨ)Ȍ!p:-]GY&UP`%!F1o:vYbw>u
﹙1-½²﹚﹙1-1/3²﹚﹙1-¼²﹚…﹙1-1/99²﹚﹙1-1/100²﹚
﹙1-½²﹚﹙1-1/3²﹚﹙1-¼²﹚…﹙1-1/99²﹚﹙1-1/100²﹚
﹙1-½²﹚﹙1-1/3²﹚﹙1-¼²﹚…﹙1-1/99²﹚﹙1-1/100²﹚
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)……(1+1/99)(1-1/99)(1+1/100)(1-1/100)
每一个用平方差公式分解因式
=(1+1/2)(1+1/3)(1+1/4)……(1+1/99)(1+1/100)(1-1/2)(1-1/3)(1-1/4)……(1-1/99)(1-1/100)
加的和减的分开写
=3/2×4/3×5/4×6/5×……×100/99×101/100 ×1/2×2/3×3/4×4/5×……×98/99×99/100
前面的分子与分母约去 前面的分母与后面的分子可约去
=101/2×1/100
=101/200
101/200