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I'm currently having problems with these concept, my textbook states that:

Let S be the set of all subsequential limits of s_n, then

sup S= limsup s_n

inf S= liminf s_n

Knowing that S is also the set of all limits point of s_n, however I'm wondering how I could determine this set.

Ex: For s_n=[itex]\frac{1}{n}[/itex], I can easily check that 0 is its limit point but I don't know how to find it.