Determine the set of limit points of $A=\{1/n+1/m : n,m \in \mathbb Z^+\}$ in the standard topology on $\mathbb R$.
I think that the limit points of $A$ is $A'=\{0\}$. Am I correct? How would I prove this?
Thanks in advance.
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you gonna get more than $0$. For instance, the numbers $1/n$ will all be limit points... – Forever Mozart Feb 28 '15 at 05:34
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Check this answer. This proves a generalized version. – Saibal Feb 28 '15 at 05:43