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Let 
, be a sequence of continuous functions defined on an interval that converges pointwise to the function on . It is well known that the function could be continuous or not . However, the
function have some interesting properties. The purpose of this article is to use this idea in order to define the Baire class one functions, study their algebraic properties and prove that the uniform limit of a sequence of Baire class one functions is also a Baire class one function.
