Jump to content

Wikipedia:Reference desk/Archives/Mathematics/2011 April 9

From Wikipedia, the free encyclopedia
Mathematics desk
< April 8 << Mar | April | May >> April 10 >
Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.


April 9

[edit]

Limit

[edit]

Does anyone know how to prove x^n tends to 0 for fixed x in [0,1)? Somehow I can't recall how to do the simplest of things. Money is tight (talk) 15:10, 9 April 2011 (UTC)[reply]

is a decreasing sequence bounded below, so it has a limit. The limit L must be a fixed point of , so L=0. Sławomir Biały (talk) 15:20, 9 April 2011 (UTC)[reply]
Thanks, that's a very clever proof. Money is tight (talk) 04:21, 10 April 2011 (UTC)[reply]