Is h(x)=x3+1 uniformly continuous on the set [1,infinity)?
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 |(x3+1)-(y3+1)|=|x3-y3|
Now how can I show that this is less than epsilon?