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

来源: 2011-01-16 11:56:42 [博客] [旧帖] [给我悄悄话] 本文已被阅读:

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]?