Exercise 2.5

Question

\def\ints{\mathbb{Z}}
Exercise 5: Construct a bounded set of real numbers with exactly three limit points.

ghostofgarborg · Accepted Answer

Take e.g. the set 
    $$ \{ \frac 1 n : n \in \mathbb N \} \cup \{ 1 + \frac 1 n : n \in \mathbb N \} \cup \{ 2 + \frac 1 n : n \in \mathbb N \} $$

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