CalcNotes0208-page1 - (Section 2.8 Continuity 2.8.1 SECTION...

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(Section 2.8: Continuity) 2.8.1 SECTION 2.8: CONTINUITY PART A: INTRO Informally, a function f with domain ± is continuous everywhere (i.e., continuous on ± ) ± we can take a pencil and trace out the graph of f between any two distinct points on the graph without having to lift up our pencil. We must make this idea more precise! PART B: CONTINUITY AT A POINT Assume that a is a real constant; it corresponds to a point on the real number line, usually as the
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