Abstract
The motivation for this paper is due to a question from Z. Piotrowski on whether or not the "textquotedblleft salt-and-pepper" function in the plane was the pointwise limit of separately continuous functions. In this paper we answer that question and then go on to investigate the sets $D$ in the plane such that $\chi _{D}$ is the pointwise limit of separately continuous functions. We also look at all pointwise limits of separately continuous functions and their place in the space of Baire Class 2 functions.
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