急問!!!一條數學問題0.999...+X=1

2008-12-06 3:05 am
0.999...+X=1
請問X=?
請幫忙~~~~~~~~~~

回答 (2)

2008-12-06 4:02 am
✔ 最佳答案
首先要證明 0.999... = 1
設 y = 0.999...
y = 0.999...
100y = 99.999...
100y - y = 99.999... - y
99y = 99.999... - 0.999...
99y = 99
y = 1
因為 0.999... = 1
0.999... X = 1
1 X = 1
X = 1-1
X = 0

2008-12-05 20:03:27 補充:
尾4個行唔係 0.999... X = 1
係 0.999... + X = 1
參考: me
2008-12-06 3:26 am
Since 0.999...=1
Thus X=0
參考: ME


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