anonymous 5 years ago construct a bounded set of real numbers with exactly three limit points

1. anonymous

Is (a,b) open on R2

2. anonymous

$\left\{\frac{1}{n},1+\frac{1}{n},2+\frac{1}{n}:n\geq 1, n\in \mathbb{N} \right\}$ i think that should work

3. anonymous

the limit points of that set are exactly $\left\{0,1,2\right\}$

4. anonymous

Can u tell me the answer of construct a component set of real numbers with a countable set of limit points