(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?

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# Homework Help: Uniformly Continuous

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