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YOU NEED THAT FOR f: A → R, CEA, THE FUNCTION IS CONTINUOUS AT C IF AND ONLY F ε >0 δ >0 x-c<δ and x A implies |f(x)-f(c)| < ε!!! OTHERWISE IT'S NOT SUFFICIENTLY RIGOROUS!!!! Real Analysis Student 1 0 If I can draw it without picking my pen up, it's continuous. Precalculus Student