Originally Posted by

**alyosha2** for each point $\displaystyle c$ of $\displaystyle R$.

each open interval of the form $\displaystyle (c - \frac{1}{n}, c+ \frac{1}{n})$, where $\displaystyle n \in N$

Contains ration $\displaystyle x_n$ and irrational $\displaystyle y_n$.

Ok so far, but then Considering $\displaystyle \{x_n\}$ and $\displaystyle \{y_n\}$, we have $\displaystyle x_n \to c$ and $\displaystyle y_n\to c$, by the squeeze rule. I don't understand what's going on here. As there are only two sequences, how are these two sequences being squeezed?