作业帮|1/2008-1/2007|+丨1/2007-1/2006|-|1/2008-1/2006| 还有第二题1/1×3+1
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/05/22 16:36:06
|1/2008-1/2007|+丨1/2007-1/2006|-|1/2008-1/2006| 还有第二题1/1×3+1/3×5+1/5×7+…+1/99×101
|1/2008-1/2007|+丨1/2007-1/2006|-|1/2008-1/2006|
=1/2007-1/2008+1/2006-1/2007-(1/2006-1/2008)
=1/2006-1/2008-1/2006+1/2008
=0;
还有第二题1/1×3+1/3×5+1/5×7+…+1/99×101
=（1/2）×(1-1/3+1/3-1/5+1/5-1/7+...+1/99-1/101)
=(1/2)×(1-1/101)
=(1/2)×(100/101)
=50/101;
很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,
再问： 谢谢，
=1/2007-1/2008+1/2006-1/2007-(1/2006-1/2008)
=1/2006-1/2008-1/2006+1/2008
=0;
还有第二题1/1×3+1/3×5+1/5×7+…+1/99×101
=（1/2）×(1-1/3+1/3-1/5+1/5-1/7+...+1/99-1/101)
=(1/2)×(1-1/101)
=(1/2)×(100/101)
=50/101;
很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,
再问： 谢谢，