Question

Using the real numbers as the model, which of the following are true and which are...

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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