Recent content by lionel_hutz

Homework Statement Prove that if f is uniformly continuous on a bounded set S, then f is a bounded function on S.Homework Equations Uniform continuity: For all e>0, there exist d>0 s.t for all x,y in S |x-y| implies |f(x)-f(y)| The Attempt at a Solution Every time my book has covered a...

Alright, I see. I was thinking max and confusing myself, lol. Thanks!

Homework Statement Using the delta-epsilon definition of limits, prove that of lim f(x) = l and lim f(x) =m, then l=mHomework Equations Delta-epsilon definiition of the limit of f(x), as x approaches a: For all e>0, there is a d s.t if for all x, |x-a|<d, then |f(x) -l|<e The Attempt at a...