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Mathematics, 01.09.2019 18:20 pickelswolf3036

Define x to be an limit point of a set s if every ball about x contains points of s other than x. (note that x need not lie in s and that this definition of limit point may differ slightly from how the term was discussed informally in class.) if s is closed, show that it contains all of its limit points. for general s, prove that cl s is the union of s and all its limit points.

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Define x to be an limit point of a set s if every ball about x contains points of s other than x. (n...
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