# Real Analysis : Uniformly Continuous

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A-Assume that f:[0,oo)->R is continous at every point in its domain.show that if there exists b>0 such that f is uniformly continous on the set[b,oo), then f is uniformly continous on [0,oo).

b-Prove that f(x)=sqrt[x] is uniformly contionus on [0,oo).

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#### Solution Summary

Uniform continuity is investigated. The solution is detailed.

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