# Math Help - very important for me help

1. ## very important for me help

If a function is continous uniformely at [1, infinity)
does it mean that exist the limit f(x) in the wide sense? ( while x approaches infinity ).
if you take sqrt(x) the limit is infinity and yet its uniform continous.
but i can't find an example that contradicts the wide sense limit part? and I can't quite
manage to prove it.

I have a test tomorrow.

2. Originally Posted by botnaim
If a function is continous uniformely at [1, infinity)
does it mean that exist the limit f(x) in the wide sense? ( while x approaches infinity ).
if you take sqrt(x) the limit is infinity and yet its uniform continous.
but i can't find an example that contradicts the wide sense limit part? and I can't quite
manage to prove it.

I have a test tomorrow.
If a function is continuous, it does not necessarily mean that a limit exists. Think about $\sin(x)$