Chapter 12 - Vector-Valued Functions - 12.1 Exercises - Page 822: 69

\begin{array}{l}{\mathbf{r}(t)}{\text { is continuous on }(-\infty, 0),(0, \infty)}\end{array}

Given$$\mathbf{r}(t)=\mathbf{t} \mathbf{i}+\frac{1}{t} \mathbf{j}$$ Since we have $\frac{1}{t}$, which is not Continuous at $t=0$: \begin{array}{l}{\mathbf{r}(t)}{\text { is continuous on }(-\infty, 0),(0, \infty)}\end{array}