(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2008)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/19 20:31:07
(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2008)=?
x)05740<<4D0L===(B6IEi/`M@pmpmڀZ@5!sTCf`_t?ɮ/X)EC~qAb6`ӾOBu v  p)@- w-{Ɏ6>_7i.v<~O'6 :SO*^C\E%

(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2008)=?
(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2008)=?

(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2008)=?
(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2008)
=(99/100)×(100/101)×(101/102)×...×(2006/2007)×(2007/2008)
=99/2008
江苏吴云超解答 供参考!

原式=99/100 X 100/101 X 101/102 X ......X 2007/2008
=99/2008(约一下就算出答案了)

(1-1/100)×(1-1/101)×(1-1/102)×...×(1-1/2008)
=99/100×100/101×101/102×...×2006/2007×2007/2008
=99/2008