(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/9²)(1-1/10²)简便方法,
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/22 05:07:11
![(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/9²)(1-1/10²)简便方法,](/uploads/image/z/2483928-0-8.jpg?t=%281-1%2F2%26%23178%3B%29%281-1%2F3%26%23178%3B%29%281-1%2F4%26%23178%3B%29%E2%80%A6%E2%80%A6%281-1%2F9%26%23178%3B%29%281-1%2F10%26%23178%3B%29%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%2C)
(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/9²)(1-1/10²)简便方法,
(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/9²)(1-1/10²)简便方法,
(1-1/2²)(1-1/3²)(1-1/4²)……(1-1/9²)(1-1/10²)简便方法,
用平方差
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/10)(1+1/10)
=(1/2)(3/2)(2/3)(4/3)……(9/10)(11/10)
中间约分
=(1/2)(11/10)
=11/20