1/1x3+1/3x5+1/5x7+.+1/49x51求简便运算,
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 17:22:03
![1/1x3+1/3x5+1/5x7+.+1/49x51求简便运算,](/uploads/image/z/10780162-34-2.jpg?t=1%2F1x3%2B1%2F3x5%2B1%2F5x7%2B.%2B1%2F49x51%E6%B1%82%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97%2C)
1/1x3+1/3x5+1/5x7+.+1/49x51求简便运算,
1/1x3+1/3x5+1/5x7+.+1/49x51
求简便运算,
1/1x3+1/3x5+1/5x7+.+1/49x51求简便运算,
=1/2((1-1/3)+(1/3-1/5)+.+(1/49-1/51))=2(1-1/3+1/3-1/5+.-1/51))=1/2(1-1/51)=50/102