1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/200)*2填大于号或小于号 或等于号
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 04:15:55
![1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/200)*2填大于号或小于号 或等于号](/uploads/image/z/2665798-70-8.jpg?t=1-1%2F2%2B1%2F3-1%2F4%2B1%2F5-1%2F6%2B.%2B1%2F99-1%2F100%E2%97%8B%281%2F102%2B1%2F104%2B1%2F106%2B...%2B1%2F200%29%2A2%E5%A1%AB%E5%A4%A7%E4%BA%8E%E5%8F%B7%E6%88%96%E5%B0%8F%E4%BA%8E%E5%8F%B7+%E6%88%96%E7%AD%89%E4%BA%8E%E5%8F%B7)
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1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/200)*2填大于号或小于号 或等于号
1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/200)*2填大于号或小于号 或等于号
1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/200)*2填大于号或小于号 或等于号
1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100
=(1+1/2+1/3+.+1/99+1/100)-2*(1/2+1/4+1/6+.+1/100)
=(1+1/2+1/3+.+1/99+1/100)-(1+1/2+1/3+.+1/50)
=1/51+1/52+1/53+.+1/100
=2*(1/102+1/104+1/106+...+1/200)*
因此两边是相等的,