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

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

Thanks a lot.  I did not know that you could break one infinite sequence into two like you did above.

You wrote x^x^x^x^....if convergent, We have x=x^x , Lnx=xLnx, we get x=1.  So the limit of x^x^x^x^.... is 1 for any x in(0,1]?

所有跟帖： 

• Yes,you're right. -jinjing- ♀ (316 bytes) () 01/16/2011 postreply 13:07:13

• some calculators do not compute ^ correctly. -yma16- ♂ (378 bytes) () 01/16/2011 postreply 17:39:10

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

• 回复：Yes,you're right. -yma16- ♂ (414 bytes) () 01/16/2011 postreply 18:30:27

• 回复：回复：Yes,you're right. -jinjing- ♀ (205 bytes) () 01/16/2011 postreply 21:05:36

• I have to say I disagree with you. -yma16- ♂ (933 bytes) () 01/17/2011 postreply 09:51:33

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

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

• 回复：When I can't your thanks, I check my answer again,my god..... -yma16- ♂ (548 bytes) () 01/18/2011 postreply 14:22:39

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

• thank you for the effort. This is the only -yma16- ♂ (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- ♀ (302 bytes) () 01/21/2011 postreply 10:53:30

• I also found another example that taking a limit -yma16- ♂ (373 bytes) () 01/21/2011 postreply 17:42:54