Question
State the definition of continuity of a vector-valued function. Give an example of a vector-valued function that is defined but not continuous at $t=2$.
Step 1
A vector-valued function $\vec{r}(t)$ is said to be continuous at a point $t=a$ if the limit as $t$ approaches $a$ exists and is equal to the function's value at $t=a$. In other words, $\lim_{t\to a} \vec{r}(t) = \vec{r}(a)$. Show more…
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