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yue
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0.999.../用0.333...證明
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yue
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0.999...
Wb
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yue
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0.999...
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用0.333...證明
相關章節
edit
小數長除法
用0.111...證明
證明
edit
利用長除法,計到:
1
3
=
0.333...
{\displaystyle {\frac {1}{3}}=0.333...}
兩邊乘返3,得到:
3
3
=
0.999...
{\displaystyle {\frac {3}{3}}=0.999...}
得證:
1
=
0.999...
{\displaystyle 1=0.999...}