0.9999……(无限循环)≠1?1.因为 x = 0.9999...2.所以 10x = 9.9999...3.所以 10x - x = 9.9999...- 0.9999...4.所以 9x = 95.所以 x = 1我是个文盲,上过学的麻烦帮我解释一下1至5步,哪一步骤出现错误了么?Proof:0.9
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![0.9999……(无限循环)≠1?1.因为 x = 0.9999...2.所以 10x = 9.9999...3.所以 10x - x = 9.9999...- 0.9999...4.所以 9x = 95.所以 x = 1我是个文盲,上过学的麻烦帮我解释一下1至5步,哪一步骤出现错误了么?Proof:0.9](/uploads/image/z/1766609-17-9.jpg?t=0.9999%E2%80%A6%E2%80%A6%EF%BC%88%E6%97%A0%E9%99%90%E5%BE%AA%E7%8E%AF%EF%BC%89%E2%89%A01%3F1.%E5%9B%A0%E4%B8%BA+x+%3D+0.9999...2.%E6%89%80%E4%BB%A5+10x+%3D+9.9999...3.%E6%89%80%E4%BB%A5+10x+-+x+%3D+9.9999...-+0.9999...4.%E6%89%80%E4%BB%A5+9x+%3D+95.%E6%89%80%E4%BB%A5+x+%3D+1%E6%88%91%E6%98%AF%E4%B8%AA%E6%96%87%E7%9B%B2%2C%E4%B8%8A%E8%BF%87%E5%AD%A6%E7%9A%84%E9%BA%BB%E7%83%A6%E5%B8%AE%E6%88%91%E8%A7%A3%E9%87%8A%E4%B8%80%E4%B8%8B1%E8%87%B35%E6%AD%A5%2C%E5%93%AA%E4%B8%80%E6%AD%A5%E9%AA%A4%E5%87%BA%E7%8E%B0%E9%94%99%E8%AF%AF%E4%BA%86%E4%B9%88%3FProof%3A0.9)
0.9999……(无限循环)≠1?1.因为 x = 0.9999...2.所以 10x = 9.9999...3.所以 10x - x = 9.9999...- 0.9999...4.所以 9x = 95.所以 x = 1我是个文盲,上过学的麻烦帮我解释一下1至5步,哪一步骤出现错误了么?Proof:0.9
0.9999……(无限循环)≠1?
1.因为 x = 0.9999...
2.所以 10x = 9.9999...
3.所以 10x - x = 9.9999...- 0.9999...
4.所以 9x = 9
5.所以 x = 1
我是个文盲,上过学的麻烦帮我解释一下1至5步,哪一步骤出现错误了么?
Proof:0.9999...= Sum 9/10^n
(n=1 -> Infinity)
= lim sum 9/10^n
(m -> Infinity) (n=1 -> m)
= lim .9(1-10^-(m+1))/(1-1/10)
(m -> Infinity)
= lim .9(1-10^-(m+1))/(9/10)
(m -> Infinity)
= .9/(9/10)
= 1
我找到了一个答案 似乎国外的科学家证明出0.9999……(无限循环)=1了
0.9999……(无限循环)≠1?1.因为 x = 0.9999...2.所以 10x = 9.9999...3.所以 10x - x = 9.9999...- 0.9999...4.所以 9x = 95.所以 x = 1我是个文盲,上过学的麻烦帮我解释一下1至5步,哪一步骤出现错误了么?Proof:0.9
这是无限数,0.999999.就是等于1
1.0.9999.=0.3333.*3
=1/3*3
=1
这也是,我才6年级,我问我爸的
应该是第3步吧,无限循环-无限循环怎么减?没有头的、