continuity in calc 1 vs real analysis

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The definition of continuity is developed slowly for the student. Beginning with "if you can draw it without lifting your pencil then it's continuous" to the big fat epsilon delta definition of continuity. #realanalysis #apcalculus #calculus #mathmemes #mathshorts

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f is continuous at x if for all ε>0, there exists δ>0 s.t. |x-y|<δ implies |f(x) - f(y)|<ε.

That's all I remember.

speakingsarcasm
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I have no idea what any of this means, but this video gives off good vibes so I'll like it.

Master_Conner
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Idk i guess conitnuity meaning is by the graph u don't need ur pen to stick n umstick to the paper the graph of the function is spontaneous that's continuity

Pandeyziipandit