Continuity Explained (Limits and Function Values Must Match)
0:16
YouTubeUnderstand The Math
Continuity Explained (Limits and Function Values Must Match)
Do you know what continuity really means? In this video, we break down the definition of continuity in a clear and simple way. Continuity is more than just drawing a graph without lifting your pencil — it comes down to three key conditions. We’ll go over: • When a limit exists • When a function is defined • Why those two values must ...
1.3K views1 month ago
Shorts
What is a continuous function in a topological sense? Sure, everyone knows the classic ε-δ definition for continuity but what do we do when we don’t have a metric? My professor calls this theorem the “gateway” to topology because this is our opening, continuity defined purely in open sets. The proof is pretty simple to follow along with so hopefully you enjoy. #math #topology #metricspace #continuity #realanalysis
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What is a continuous function in a topological sense? Sure, everyone knows the classic
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