## Question

###### Prove the following statement: Proposition 2. If f : (a,c) 7 R is such that f is uniformly contin- uous Onl both (a,b] and [b,c) for some b â‚¬ (a,c), then f uniformly continuous Onl (a,c).

Prove the following statement: Proposition 2. If f : (a,c) 7 R is such that f is uniformly contin- uous Onl both (a,b] and [b,c) for some b â‚¬ (a,c), then f uniformly continuous Onl (a,c).

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