## Numerical Analysis: Uniform Continuity Question

This isn't so much of a homework problem as a general question that will help me with my homework.

I am supposed to prove that a given function is uniformly continuous on an open interval (a,b).

Since for any continuous function on a closed interval is uniformly continuous, I am curious if I can prove that the function is uniformly continuous on [a,b], then it is also uniformly continuous on (a,b).

Thanks!
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 Quote by The_Stix This isn't so much of a homework problem as a general question that will help me with my homework. I am supposed to prove that a given function is uniformly continuous on an open interval (a,b). Since for any continuous function on a closed interval is uniformly continuous, I am curious if I can prove that the function is uniformly continuous on [a,b], then it is also uniformly continuous on (a,b). Thanks!
Yes.

 Tags analysis, homework question, math, uniform continuity