Solution
= Solution
A sequence converges if there is $x\in X$ such that, for every $\epsilon>0$, some $N$ satisfies $d(x_n,x)<\epsilon$ whenever $n\ge N$. The limit must belong to $X$, not merely to a larger ambient space.
= Solution
A sequence converges if there is $x\in X$ such that, for every $\epsilon>0$, some $N$ satisfies $d(x_n,x)<\epsilon$ whenever $n\ge N$. The limit must belong to $X$, not merely to a larger ambient space.