In this episode we discuss one of the most important concepts in mathematical analysis -- the concept of continuity for mappings. With great patience and attention to detail we describe the exact definition for a map f to be continuous at some point a in a metric space into a possibly different metric space. We highlight some examples from everyday life and conclude with the property that continuous maps are precisely those maps mapping convergent sequences with some limit a to the same with limit f(a) from one metric space into another. 

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