# Definition(s)
> [!NOTE] Definition (Sequentially Continuous Function Between Metric Spaces)
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> [!NOTE] Definition (Sequentially Continuous Function Between Euclidean Spaces)
> A function $f:U \subset\mathbb{R}^n \to \mathbb{R}^k$ is sequentially continuous at $p$, if for every [[Convergence|convergent sequence]] $(x_{j})_{\mathbb{N}}$ in $U$ such that $x_{j} \to p$, we have that $(f(x_{j})) \to f(p)$ as $p \to \infty$.
> [!Example] Example
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# Properties(s)
# Application(s)
**More examples**:
# Reference(s)