己知1/1x2=1-1/2;1/2x3=1/2-1/3,1/3x4=1/3-1/4,1/4x5=1/4-1/5;…1/(n+1)n=1/n-1-1/n+1求不等式x/2+x/6+x/12+…+x/9900≯99的解集.
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/18 18:35:00
![己知1/1x2=1-1/2;1/2x3=1/2-1/3,1/3x4=1/3-1/4,1/4x5=1/4-1/5;…1/(n+1)n=1/n-1-1/n+1求不等式x/2+x/6+x/12+…+x/9900≯99的解集.](/uploads/image/z/3821099-59-9.jpg?t=%E5%B7%B1%E7%9F%A51%2F1x2%3D1-1%2F2%3B1%2F2x3%3D1%2F2-1%2F3%2C1%2F3x4%3D1%2F3-1%2F4%2C1%2F4x5%3D1%2F4-1%2F5%3B%E2%80%A61%2F%EF%BC%88n%2B1%EF%BC%89n%3D1%2Fn-1-1%2Fn%2B1%E6%B1%82%E4%B8%8D%E7%AD%89%E5%BC%8Fx%2F2%2Bx%2F6%2Bx%2F12%2B%E2%80%A6%2Bx%2F9900%E2%89%AF99%E7%9A%84%E8%A7%A3%E9%9B%86.)
己知1/1x2=1-1/2;1/2x3=1/2-1/3,1/3x4=1/3-1/4,1/4x5=1/4-1/5;…1/(n+1)n=1/n-1-1/n+1求不等式x/2+x/6+x/12+…+x/9900≯99的解集.
己知1/1x2=1-1/2;1/2x3=1/2-1/3,1/3x4=1/3-1/4,1/4x5=1/4-1/5;…1/(n+1)n=1/n-1-1/n+1
求不等式x/2+x/6+x/12+…+x/9900≯99的解集.
己知1/1x2=1-1/2;1/2x3=1/2-1/3,1/3x4=1/3-1/4,1/4x5=1/4-1/5;…1/(n+1)n=1/n-1-1/n+1求不等式x/2+x/6+x/12+…+x/9900≯99的解集.
x/2+x/6+x/12+…+x/9900≯99
x(1/2+1/6+1/9900)≯99
∴x(1-1/2+1/2-1/3+……+1/99-1/100)≯99
99/100x ≯99
x≯100