Question
Show that $\lim _{1, \ldots} \mathbf{r}(t)=\mathbf{b}$ if and only if for every $\varepsilon>0$ there is a number $\delta>0$ such that if $0<|t-a|<\delta$ then $|\mathbf{r}(t)-\mathbf{b}|<\varepsilon$
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