Simple proof for a property of continuous functions related to limits.
- From: gtsavdar@xxxxxxxxx
- Date: Fri, 09 Nov 2007 09:22:33 -0800
If f(x) : D -> R and y(x) : f(D) -> R
And y(x) is a continuous function for every x at f(D).
Now what is the poof that for suitable α, it is true that:
Please look at the following picture, since it's difficult to write
the limit symbols here:
http://i215.photobucket.com/albums/cc34/Crocodile13/monf.jpg
-----------------------------------------------------------------------------------
I have a proof in my mind but it seems unnecessarily complicated and
i feel there must be something else more simple that i miss....
Thanks.
.
- Follow-Ups:
- Prev by Date: Re: Randomness of digits within pi
- Next by Date: Looking for a book on the development of an Constructivist mathematical system
- Previous by thread: #264 changes that must be made to correct Euclidean Geometry since new textbook: Mathematical Physics (Microscopic Numbers (Reals) and Telescopic Numbers (Counting Numbers)) for 6 year olds and onward
- Next by thread: Re: Simple proof for a property of continuous functions related to limits.
- Index(es):
Relevant Pages
|
