# Real Analysis : Uniformly Continuous

Assume that g is defined on an open interval (a,c) and it is known to be uniformly contionus on (a,b] and [b,c) where a<b<c.prove that g is uniformly continous on (a,c).

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Assume that g is defined on an open interval (a,c) and it is known to be uniformly contionus on (a,b] and [b,c) where a<b<c.prove that g is uniformly continous on (a,c).

Proof. By the definition of uniformly continuous function, we know that

Theorem: if a function ...

#### Solution Summary

Uniform continuity is investigated. The solution is detailed.

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