-2 is the limit point of the interval ]-3,2[.
True or false with full explanation
A limit point is a point for which every neighbourhood contains at least one point belonging to a given set.
Given the closed interval [-3,2], the point -2 is a limit point for the interval, since we can find a neighbourhood of -2 which completely lies in the interval.
Considering the above given closed interval, A neighbourhood of -2 is the open interval (-2.5,1). We can find a "\\epsilon>0" (a small number) such that
Hence,
-2 is the limit point of the interval [-3,2].
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