Numerical Analysis: Uniform Continuity Question

[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!

 

[LCKurtz]

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.