计算(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100).(用简算)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/25 06:42:13
计算(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100).(用简算)
x 0EqNg $]`dGK OwH&5J}h_94D7 $]eN#5َ(1< 71^ϸN֯V̑{8ڲhF,{^T|l"`H_sK~q"[6/pjߴ/

计算(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100).(用简算)
计算(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100).(用简算)

计算(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100).(用简算)
(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100)
=1/3*2/4*3/5*...*96/98*97/99*98/100
=(1*2*3*...*96*97*98)/(3*4*5*...*98*99*100)
=1*2*(3*...*96*97*98/3*4*5*...*98)/(99*100)
=1*2/(99*100)
=2/9900
=1/4950