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    August 05

    0.999...和1

    看到一群人在争论这两个数字的大小
    少数人认为0.999...比1小
    大部份的人信誓旦旦自信满满地证明两个数字相等：
     
    令x=0.999999……   (1)
    则10x= 9.99999……    (2)
    (2) - (1) 得到 9x = 9,故x=1
     
    还有人说1和0.999...这两个数字之间不存在一个数字x使0.999...<x<1，所以1=0.999...
     
    虽然是非常有道理的可以说服到人的证明。。
     
    但是我还是更宁可一如继往地直观地认为，0.999...永远都不可能到达1，所以1大于0.999...-o-
     
    8:35 PM | Blog it

    Comments (3)

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    XIN Emmawrote:
    -o-两学期高数都是60分的狗爬过。。。
    Aug. 6
    康多wrote:
    记者越发无聊了。原来这么多人都没看过证明方法。不过我以前也是在一本趣味书上看到的。


    Aug. 5
    特特 欧阳wrote:
    高数没学好的小朋友。。。
    Aug. 5

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