i need to show that is uniformly continuous at .
i was trying to show that maintains . what i was getting is that in the given range - , and then i was stuck... how can i proceed from here?
i need to show that is uniformly continuous at .
i was trying to show that maintains . what i was getting is that in the given range - , and then i was stuck... how can i proceed from here?
I believe you eliminated the denominator too early, your current approach won't work. Below is a solution, I have spoilered it in parts so you can jump on in whenever you wish.
Keeping the denominator
Spoiler:
Estimating some things.
Spoiler:
Since , you get .
Hence
Spoiler:
so you may as well choose .
Last edited by Gusbob; April 18th 2013 at 11:00 PM.