0.999… is 1 !!

雖然我很小的時候
就明白這個了
但原來很多人不能明白或不能接受
我在這裡說明一次
This is true!! 0.999… = 1
我知道好多人看完會覺得我是math. nerd
What the heck. 我還是要寫
 
我自己喜歡用代數,因為夠嚴謹
證明一
0.999… = X
10X – X = 9
       9X = 9
         X = 1
但很多人看不懂,還跟我講數字走到第幾位,會差一位
沒辦法,只好寫地球人看得懂的了
證明二
1/9 = 0.111…
   1 = 0.999…
不能相信?? Here we go,
證明三
1/3 = 0.333…eq1
2/3 = 0.666…eq2
eq1+eq2 :
3/3 = 0.999…
   1 = 0.999…
 
其實wikipedia還有很多證明
數列阿,幾何阿
不過那些更不是地球人看的
所以不寫了, again
0.999… is 1
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