Continuous Vector-Valued Function

Topics: Vector-Valued Function - Calculus

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(definition)

Let $r(t):\mathbb{R}\to {\mathbb{R}}^n$ be a vector-valued function.

We say that $r(t)$ is continuous at $a$ when, given its limit as $t\to a$:

$$\underset{t\to a}{\lim }r(t)=r(a)$$