In this paper, we study about the set of points where the beta-expansion is exactly same as the negative beta-expansion. It has been found that if the beta-expansion of a point is exactly equal to the negative beta-expansion with respect to some beta, then the point lies in 0,(3√5/2) . If the negative beta-expansion of a point is not finite and, is equal to the beta-expansion then, we find a set in which every point is a limit point of itself.
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