What is the cardinality of the class of $0$ in $\mathbb{R}$? In other words: what is the cardinality of the class of all rational Cauchy sequences that converge to $0$?
2026-03-29 12:28:01.1774787281
What is the cardinality of the class of $0$ in $\mathbb{R}$?
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HINT: If $q_n\to 0$, then given any infinite subset of $\Bbb N$, $A$, replacing $q_n$ for $n\in A$, with $0$ is again a Cauchy sequence converging to $0$.