Explore BrainMass

Explore BrainMass

    Real analysis

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

    For each of the following choices of A,construct a function f:R->R that has discontinuities at every point x in A and is continuous on A^c(compliment)
    a-A=Z
    b-A={x:0<x<1}
    c-A={x:0<=x<=1}
    d-A={1/n:n belong to N}.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:05 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/constructing-functions-discontinuities-28573

    Solution Preview

    I construct the function f: R->R which is discontinuous at every point in A and is continous at each point not in A.
    a. ...

    Solution Summary

    The solution shows how to construct functions with discontinuities.

    $2.49

    ADVERTISEMENT