I'm very glad for your paper,but I'm right & you are ...

來源: jinjing 2011-01-16 11:14:42 [] [舊帖] [給我悄悄話] 本文已被閱讀: 次 (527 bytes)
回答: To Jinjing-I found your solutionyma162011-01-16 10:12:23

"But I think it is wrong.  From x^x^x... convergent, you cannot get x=x^x.  Let's say x=.5.  .5, .5^.5, .5^.5^.5,... is convergent because it is increase and smaller than 1^.5^.5..., which is 1.  But you cannot say .5=.5^.5."

your .5=.5^.5 is wrong, should be x=x^x, what is x, x is the limit, it is not .5.

let me tell you the detail,(not real Math):

x= .5^.5^.5^.5^.......^.5^.5^.5^.5^.5^......=x^x.

This is not strict Math,but good for understanding.

 

所有跟帖: 

回複:I'm very glad for your paper,but I'm right & you are ... -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (323 bytes) () 01/16/2011 postreply 11:56:42

Yes,you're right. -jinjing- 給 jinjing 發送悄悄話 (316 bytes) () 01/16/2011 postreply 13:07:13

some calculators do not compute ^ correctly. -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (378 bytes) () 01/16/2011 postreply 17:39:10

Hi,If you try a<1,It convergent very fast. -jinjing- 給 jinjing 發送悄悄話 (130 bytes) () 01/16/2011 postreply 20:43:03

回複:Yes,you're right. -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (414 bytes) () 01/16/2011 postreply 18:30:27

回複:回複:Yes,you're right. -jinjing- 給 jinjing 發送悄悄話 (205 bytes) () 01/16/2011 postreply 21:05:36

I have to say I disagree with you. -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (933 bytes) () 01/17/2011 postreply 09:51:33

Thanks,but you are...,Newton was not clear,...100 more years Cau -jinjing- 給 jinjing 發送悄悄話 (287 bytes) () 01/17/2011 postreply 11:12:12

When I can't your thanks, I check my answer again,my god...... -jinjing- 給 jinjing 發送悄悄話 (846 bytes) () 01/18/2011 postreply 12:31:15

回複:When I can't your thanks, I check my answer again,my god..... -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (548 bytes) () 01/18/2011 postreply 14:22:39

My friend,you'r great,a>e^(1/e) An is divergent. Why?Because... -jinjing- 給 jinjing 發送悄悄話 (127 bytes) () 01/18/2011 postreply 17:57:16

thank you for the effort. This is the only -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (450 bytes) () 01/20/2011 postreply 18:27:29

Thanks,you are right. A old want to say....why the big one is no -jinjing- 給 jinjing 發送悄悄話 (302 bytes) () 01/21/2011 postreply 10:53:30

I also found another example that taking a limit -yma16- 給 yma16 發送悄悄話 yma16 的博客首頁 (373 bytes) () 01/21/2011 postreply 17:42:54

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