Constructing Monotonic Sequences Converging to an Accumulation Point in a Subset of $\mathbb{R}$
Let a be a set accumulation point $A$ subset of $\mathbb{R}$. Show that there is either an increasing sequence or a decreasing sequence of points $x_n$ in A with $\lim_{n\rightarrow \infty} x_n=a$.
Mona Vinci
39
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