1/1X3+1/3X5+1/5X7...1/17X19+1/19X21=

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 02:56:22

1/1X3+1/3X5+1/5X7...1/17X19+1/19X21=
1/1X3+1/3X5+1/5X7...1/17X19+1/19X21=

1/1X3+1/3X5+1/5X7...1/17X19+1/19X21=
1/1x3+1/3x5+1/5x7+……+1/17x19+1/19x21
=1/2 *(1-1/3+1/3-1/5+.+1/17-1/19+1/19-1/21)
=1/2*(1-1/21)
=10/21