<aside> 🦜 In the form $r(t) = f(t)i+g(t)j+ h(t)k$

</aside>

• Component functions are $f$, $g$, and $h$
  • Can also be written in the form $r(t) = <f(t),g(t), h(t)>$

Limits and Continuity

$\lim_{t \to a} r(t) = [\lim_{t \to a}f(t)]i + [\lim_{t \to a} g(t)]j + [\lim_{t \to a}h(t)]k$

In order for a point on a vector valued function to be continuous:

1. $r(a)$ exists
2. $\lim_{t \to a} r(t)$ exists
3. $\lim_{t \to a} r(t) = r(a)$