(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is h(x)=x^{3}+1 uniformly continuous on the set [1,infinity)?

3. The attempt at a solution

Let [tex]\epsilon[/tex]>0. For each x,y in the set [1,infinity) with |x-y|<[tex]\delta[/tex], we would have |(x^{3}+1)-(y^{3}+1)|=|x^{3}-y^{3}|

Now how can I show that this is less than epsilon?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Uniformly Continuous

**Physics Forums | Science Articles, Homework Help, Discussion**