The Derived Set of any Set is a Closed Set

Today we have to prove the theorem "The Derived Set of any Set is a Closed Set".
You have to know the definition of Limit Point of a set , Closed Set,  Neighborhood of a Point  and Derived Set to prove this theorem.

your queries-
1) Limit Point of a Set
2) Closed Set
3) Neighborhood of a Point
4) Derived Set

Link -
Definition of the limit point of a set,  Closed set and Derived Set of a Set

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