Basic Analysis I — Real Analysis · Problem 2.1.17

Sequences and Series — Jiri Lebl

Mathematics — Real Analysis · subsequences

Problem

(Tricky) Find a sequence {xn}n=1∞\{x_n\}_{n=1}^\infty such that for every y∈Ry \in \mathbb{R}, there exists a subsequence {xni}i=1∞\{x_{n_i}\}_{i=1}^\infty converging to yy.

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