Let $(x_n)^{\infty}_{n=m}$ be a sequence of real numbers, and let x be another real number. Then $(x_n)^{\infty}_{n=m}$ converges to x if and only if $lim_{n \rightarrow \infty} d(x_n,x)=0$
How do I begin with this problem? All I can think of is this definition: let $(x_N)$ be a sequence of real numbers. The sequence $(x_n)$ is said to converge to a real number a if for all $\epsilon>0$, there exists N in $\mathbb{N}$ such that $|x_n-a|<\epsilon$ for all $n \geq N$. A hint is helpful.