Explore BrainMass

Explore BrainMass

    Real Analysis : Uniformly Continuous

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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).

    © BrainMass Inc. brainmass.com March 4, 2021, 6:06 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-uniformly-continuous-29760

    Solution Preview

    Please see the attached file for the full solution.
    Thanks for using BrainMass.

    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.

    $2.19

    ADVERTISEMENT