Give an example of a sequence $\{a_n\}_{n\ge 1}$ which has no limit, but such that the set of real numbers $E=\{a_n:n\ge 1\}$ has a unique limit point.
Any help to this problem will be appreciated.
Give an example of a sequence $\{a_n\}_{n\ge 1}$ which has no limit, but such that the set of real numbers $E=\{a_n:n\ge 1\}$ has a unique limit point.
Any help to this problem will be appreciated.