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    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)
    d-A={1/n:n belong to N}.

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    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.