Using the real numbers as the model, which of the following are true and which are not true?
a. Some finite point set has a limit point.
b. Any infinite number set M has a limit point.
c. Any subset of (a, b) has a limit point.
d. All limit points of a given set belong to the set.
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Definition. A point p is said to be a limit point of a point set M if and only if every region containing p contains a point of M distinct from p. The set of all limit points of a point set M is denoted M'.
I need help with this proof!
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