(1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)简便运算是11/10吗,好像是得拆分的
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/29 00:29:37
![(1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)简便运算是11/10吗,好像是得拆分的](/uploads/image/z/131762-2-2.jpg?t=%EF%BC%881%2B1%2F2%29%C3%97%281%2B1%2F4%29%C3%97%281%2B1%2F6%29%C3%97...%C3%97%281%2B1%2F10%29%C3%97%281-1%2F3%29%C3%97%281-1%2F5%29%C3%97...%C3%97%281-1%2F9%29%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97%E6%98%AF11%2F10%E5%90%97%EF%BC%8C%E5%A5%BD%E5%83%8F%E6%98%AF%E5%BE%97%E6%8B%86%E5%88%86%E7%9A%84)
(1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)简便运算是11/10吗,好像是得拆分的
(1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)简便运算
是11/10吗,好像是得拆分的
(1+1/2)×(1+1/4)×(1+1/6)×...×(1+1/10)×(1-1/3)×(1-1/5)×...×(1-1/9)简便运算是11/10吗,好像是得拆分的
原式= 3/2×5/4×7/6×……×9/8×11/10
×2/3×4/5×6/7×……×8/9
=11/10
3/2和2/3约分为1、……、9/8和8/9约分为1
就剩下了第一行的最后一个11/10