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in this video I am going to go over and open a closed and a compact set and what they mean Im not going to use too much formal notation and maths Im just gonna keep it simple and try and focus on the understanding and the intuition behind these concepts but before I get into what an open set is and what a closed set is Im gonna go over something called the epsilon neighborhood now this epsilon neighborhood is something that once you understand the idea of an open set and a closed set becomes very easy to grasp because were going to use the epsilon neighborhood in the definition of a no concern a closed set so once you guys understand this understanding what an open set is and a closed set will be very easy so at the moment what were going to do is just take any set X and take any point within that set lets call it little X which is contained within set X and take any epsilon greater than 0 epsilon the month its just a variable take any epsilon greater than 0 our epsilon neighbo
