Proving Differentiability Implies Continuity with Basic Limits
In this video, I prove that if a function is differentiable at a point, it must also be continuous at that point using a simple limit-based argument. This proof is fundamental to understanding the relationship between differentiability and continuity in calculus. I break down the key steps to make it easy to follow along, whether you're a beginner or brushing up on your math skills!
00:00 - Introduction
01:00 - Theory
04:00 - Proof: Differentiability Implies Continuity
08:00 - End
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