Assertion: sequence's function | /r/HasProperty | continuous
Facets:
Source sentences:
text: A function from a metric space to another metric space is continuous exactly when it takes convergent sequences to convergent sequences.
text: In fact, any real-valued function f is continuous if and only if it preserves the limits of sequences (though this is not necessarily true when using more general notions of continuity).
text: In fact, a function f is continuous if and only if it preserves the limits of sequences.